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Finding the Third Proportional to 322,207 and 473,448

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Solution

The third proportional to 322,207 and 473,448 is: 695,680.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,207 : 473,448 = 473,448 : x
  2. Step 2: Convert to fraction form
    322,207/473,448 = 473,448/x
  3. Step 3: Cross multiply
    322,207x = 473,448 × 473,448
  4. Step 4: Simplify right side
    322,207x = 224,153,008,704
  5. Step 5: Solve for x
    x = 224,153,008,704/322,207
  6. Step 6: Final answer
    x = 695,680.13

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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.