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Finding the Third Proportional to 447,158 and 656,481

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Solution

The third proportional to 447,158 and 656,481 is: 963,792.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,158 : 656,481 = 656,481 : x
  2. Step 2: Convert to fraction form
    447,158/656,481 = 656,481/x
  3. Step 3: Cross multiply
    447,158x = 656,481 × 656,481
  4. Step 4: Simplify right side
    447,158x = 430,967,303,361
  5. Step 5: Solve for x
    x = 430,967,303,361/447,158
  6. Step 6: Final answer
    x = 963,792.00

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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.