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Finding the Third Proportional to 468,051.75 and 958,280.63

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Solution

The third proportional to 468,051.75 and 958,280.63 is: 1,961,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,051.75 : 958,280.63 = 958,280.63 : x
  2. Step 2: Convert to fraction form
    468,051.75/958,280.63 = 958,280.63/x
  3. Step 3: Cross multiply
    468,051.75x = 958,280.63 × 958,280.63
  4. Step 4: Simplify right side
    468,051.75x = 918,301,756,250.39
  5. Step 5: Solve for x
    x = 918,301,756,250.39/468,051.75
  6. Step 6: Final answer
    x = 1,961,966.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.