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Finding the Third Proportional to 322,139 and 473,347

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Solution

The third proportional to 322,139 and 473,347 is: 695,530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,139 : 473,347 = 473,347 : x
  2. Step 2: Convert to fraction form
    322,139/473,347 = 473,347/x
  3. Step 3: Cross multiply
    322,139x = 473,347 × 473,347
  4. Step 4: Simplify right side
    322,139x = 224,057,382,409
  5. Step 5: Solve for x
    x = 224,057,382,409/322,139
  6. Step 6: Final answer
    x = 695,530.14

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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.