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Finding the Third Proportional to 476,097.75 and 645,871.22

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Solution

The third proportional to 476,097.75 and 645,871.22 is: 876,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,097.75 : 645,871.22 = 645,871.22 : x
  2. Step 2: Convert to fraction form
    476,097.75/645,871.22 = 645,871.22/x
  3. Step 3: Cross multiply
    476,097.75x = 645,871.22 × 645,871.22
  4. Step 4: Simplify right side
    476,097.75x = 417,149,631,209.61
  5. Step 5: Solve for x
    x = 417,149,631,209.61/476,097.75
  6. Step 6: Final answer
    x = 876,184.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.