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Finding the Third Proportional to 565,572 and 829,350

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Solution

The third proportional to 565,572 and 829,350 is: 1,216,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,572 : 829,350 = 829,350 : x
  2. Step 2: Convert to fraction form
    565,572/829,350 = 829,350/x
  3. Step 3: Cross multiply
    565,572x = 829,350 × 829,350
  4. Step 4: Simplify right side
    565,572x = 687,821,422,500
  5. Step 5: Solve for x
    x = 687,821,422,500/565,572
  6. Step 6: Final answer
    x = 1,216,151.83

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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.