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Finding the Third Proportional to 482,385 and 709,125

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Solution

The third proportional to 482,385 and 709,125 is: 1,042,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,385 : 709,125 = 709,125 : x
  2. Step 2: Convert to fraction form
    482,385/709,125 = 709,125/x
  3. Step 3: Cross multiply
    482,385x = 709,125 × 709,125
  4. Step 4: Simplify right side
    482,385x = 502,858,265,625
  5. Step 5: Solve for x
    x = 502,858,265,625/482,385
  6. Step 6: Final answer
    x = 1,042,441.75

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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.