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Finding the Third Proportional to 322,202 and 473,437

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Solution

The third proportional to 322,202 and 473,437 is: 695,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,202 : 473,437 = 473,437 : x
  2. Step 2: Convert to fraction form
    322,202/473,437 = 473,437/x
  3. Step 3: Cross multiply
    322,202x = 473,437 × 473,437
  4. Step 4: Simplify right side
    322,202x = 224,142,592,969
  5. Step 5: Solve for x
    x = 224,142,592,969/322,202
  6. Step 6: Final answer
    x = 695,658.60

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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.