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Finding the Third Proportional to 487,620 and 647,011.50

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Solution

The third proportional to 487,620 and 647,011.50 is: 858,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,620 : 647,011.50 = 647,011.50 : x
  2. Step 2: Convert to fraction form
    487,620/647,011.50 = 647,011.50/x
  3. Step 3: Cross multiply
    487,620x = 647,011.50 × 647,011.50
  4. Step 4: Simplify right side
    487,620x = 418,623,881,132.25
  5. Step 5: Solve for x
    x = 418,623,881,132.25/487,620
  6. Step 6: Final answer
    x = 858,504.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.