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Finding the Third Proportional to 385,303.50 and 613,642.50

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Solution

The third proportional to 385,303.50 and 613,642.50 is: 977,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,303.50 : 613,642.50 = 613,642.50 : x
  2. Step 2: Convert to fraction form
    385,303.50/613,642.50 = 613,642.50/x
  3. Step 3: Cross multiply
    385,303.50x = 613,642.50 × 613,642.50
  4. Step 4: Simplify right side
    385,303.50x = 376,557,117,806.25
  5. Step 5: Solve for x
    x = 376,557,117,806.25/385,303.50
  6. Step 6: Final answer
    x = 977,300.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.