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Finding the Third Proportional to 487,710 and 647,304.75

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Solution

The third proportional to 487,710 and 647,304.75 is: 859,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,710 : 647,304.75 = 647,304.75 : x
  2. Step 2: Convert to fraction form
    487,710/647,304.75 = 647,304.75/x
  3. Step 3: Cross multiply
    487,710x = 647,304.75 × 647,304.75
  4. Step 4: Simplify right side
    487,710x = 419,003,439,372.56
  5. Step 5: Solve for x
    x = 419,003,439,372.56/487,710
  6. Step 6: Final answer
    x = 859,124.15

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