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Finding the Third Proportional to 502,203 and 783,760.50

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Solution

The third proportional to 502,203 and 783,760.50 is: 1,223,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,203 : 783,760.50 = 783,760.50 : x
  2. Step 2: Convert to fraction form
    502,203/783,760.50 = 783,760.50/x
  3. Step 3: Cross multiply
    502,203x = 783,760.50 × 783,760.50
  4. Step 4: Simplify right side
    502,203x = 614,280,521,360.25
  5. Step 5: Solve for x
    x = 614,280,521,360.25/502,203
  6. Step 6: Final answer
    x = 1,223,171.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.