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Finding the Third Proportional to 322,052.84 and 473,289.01

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Solution

The third proportional to 322,052.84 and 473,289.01 is: 695,545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,052.84 : 473,289.01 = 473,289.01 : x
  2. Step 2: Convert to fraction form
    322,052.84/473,289.01 = 473,289.01/x
  3. Step 3: Cross multiply
    322,052.84x = 473,289.01 × 473,289.01
  4. Step 4: Simplify right side
    322,052.84x = 224,002,488,613.71
  5. Step 5: Solve for x
    x = 224,002,488,613.71/322,052.84
  6. Step 6: Final answer
    x = 695,545.77

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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.