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Finding the Third Proportional to 316,672.88 and 466,637.63

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Solution

The third proportional to 316,672.88 and 466,637.63 is: 687,620.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,672.88 : 466,637.63 = 466,637.63 : x
  2. Step 2: Convert to fraction form
    316,672.88/466,637.63 = 466,637.63/x
  3. Step 3: Cross multiply
    316,672.88x = 466,637.63 × 466,637.63
  4. Step 4: Simplify right side
    316,672.88x = 217,750,673,065.64
  5. Step 5: Solve for x
    x = 217,750,673,065.64/316,672.88
  6. Step 6: Final answer
    x = 687,620.22

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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.