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Finding the Third Proportional to 316,666.97 and 466,628.34

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Solution

The third proportional to 316,666.97 and 466,628.34 is: 687,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,666.97 : 466,628.34 = 466,628.34 : x
  2. Step 2: Convert to fraction form
    316,666.97/466,628.34 = 466,628.34/x
  3. Step 3: Cross multiply
    316,666.97x = 466,628.34 × 466,628.34
  4. Step 4: Simplify right side
    316,666.97x = 217,742,011,190.87
  5. Step 5: Solve for x
    x = 217,742,011,190.87/316,666.97
  6. Step 6: Final answer
    x = 687,605.70

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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.