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Finding the Third Proportional to 501,516 and 702,918

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Solution

The third proportional to 501,516 and 702,918 is: 985,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,516 : 702,918 = 702,918 : x
  2. Step 2: Convert to fraction form
    501,516/702,918 = 702,918/x
  3. Step 3: Cross multiply
    501,516x = 702,918 × 702,918
  4. Step 4: Simplify right side
    501,516x = 494,093,714,724
  5. Step 5: Solve for x
    x = 494,093,714,724/501,516
  6. Step 6: Final answer
    x = 985,200.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.