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Finding the Third Proportional to 584,012 and 645,452

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Solution

The third proportional to 584,012 and 645,452 is: 713,355.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,012 : 645,452 = 645,452 : x
  2. Step 2: Convert to fraction form
    584,012/645,452 = 645,452/x
  3. Step 3: Cross multiply
    584,012x = 645,452 × 645,452
  4. Step 4: Simplify right side
    584,012x = 416,608,284,304
  5. Step 5: Solve for x
    x = 416,608,284,304/584,012
  6. Step 6: Final answer
    x = 713,355.69

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.