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Finding the Third Proportional to 316,686.94 and 466,651.69

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Solution

The third proportional to 316,686.94 and 466,651.69 is: 687,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,686.94 : 466,651.69 = 466,651.69 : x
  2. Step 2: Convert to fraction form
    316,686.94/466,651.69 = 466,651.69/x
  3. Step 3: Cross multiply
    316,686.94x = 466,651.69 × 466,651.69
  4. Step 4: Simplify right side
    316,686.94x = 217,763,797,446.60
  5. Step 5: Solve for x
    x = 217,763,797,446.60/316,686.94
  6. Step 6: Final answer
    x = 687,631.13

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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.