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Finding the Third Proportional to 531,720 and 797,968

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Solution

The third proportional to 531,720 and 797,968 is: 1,197,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,720 : 797,968 = 797,968 : x
  2. Step 2: Convert to fraction form
    531,720/797,968 = 797,968/x
  3. Step 3: Cross multiply
    531,720x = 797,968 × 797,968
  4. Step 4: Simplify right side
    531,720x = 636,752,929,024
  5. Step 5: Solve for x
    x = 636,752,929,024/531,720
  6. Step 6: Final answer
    x = 1,197,534.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.