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Finding the Third Proportional to 400,725,492.75 and 613,005,324.75

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Solution

The third proportional to 400,725,492.75 and 613,005,324.75 is: 937,738,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,725,492.75 : 613,005,324.75 = 613,005,324.75 : x
  2. Step 2: Convert to fraction form
    400,725,492.75/613,005,324.75 = 613,005,324.75/x
  3. Step 3: Cross multiply
    400,725,492.75x = 613,005,324.75 × 613,005,324.75
  4. Step 4: Simplify right side
    400,725,492.75x = 375,775,528,171,852,992
  5. Step 5: Solve for x
    x = 375,775,528,171,852,992/400,725,492.75
  6. Step 6: Final answer
    x = 937,738,015.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.