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Finding the Third Proportional to 571,572 and 783,749

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Solution

The third proportional to 571,572 and 783,749 is: 1,074,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,572 : 783,749 = 783,749 : x
  2. Step 2: Convert to fraction form
    571,572/783,749 = 783,749/x
  3. Step 3: Cross multiply
    571,572x = 783,749 × 783,749
  4. Step 4: Simplify right side
    571,572x = 614,262,495,001
  5. Step 5: Solve for x
    x = 614,262,495,001/571,572
  6. Step 6: Final answer
    x = 1,074,689.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.