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Finding the Third Proportional to 322,211 and 473,454

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Solution

The third proportional to 322,211 and 473,454 is: 695,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,211 : 473,454 = 473,454 : x
  2. Step 2: Convert to fraction form
    322,211/473,454 = 473,454/x
  3. Step 3: Cross multiply
    322,211x = 473,454 × 473,454
  4. Step 4: Simplify right side
    322,211x = 224,158,690,116
  5. Step 5: Solve for x
    x = 224,158,690,116/322,211
  6. Step 6: Final answer
    x = 695,689.13

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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.