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Finding the Third Proportional to 562,921 and 829,491

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Solution

The third proportional to 562,921 and 829,491 is: 1,222,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,921 : 829,491 = 829,491 : x
  2. Step 2: Convert to fraction form
    562,921/829,491 = 829,491/x
  3. Step 3: Cross multiply
    562,921x = 829,491 × 829,491
  4. Step 4: Simplify right side
    562,921x = 688,055,319,081
  5. Step 5: Solve for x
    x = 688,055,319,081/562,921
  6. Step 6: Final answer
    x = 1,222,294.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.