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Finding the Third Proportional to 437,716 and 656,572

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Solution

The third proportional to 437,716 and 656,572 is: 984,855.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,716 : 656,572 = 656,572 : x
  2. Step 2: Convert to fraction form
    437,716/656,572 = 656,572/x
  3. Step 3: Cross multiply
    437,716x = 656,572 × 656,572
  4. Step 4: Simplify right side
    437,716x = 431,086,791,184
  5. Step 5: Solve for x
    x = 431,086,791,184/437,716
  6. Step 6: Final answer
    x = 984,855.00

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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.