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Finding the Third Proportional to 487,320.75 and 753,115.50

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Solution

The third proportional to 487,320.75 and 753,115.50 is: 1,163,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,320.75 : 753,115.50 = 753,115.50 : x
  2. Step 2: Convert to fraction form
    487,320.75/753,115.50 = 753,115.50/x
  3. Step 3: Cross multiply
    487,320.75x = 753,115.50 × 753,115.50
  4. Step 4: Simplify right side
    487,320.75x = 567,182,956,340.25
  5. Step 5: Solve for x
    x = 567,182,956,340.25/487,320.75
  6. Step 6: Final answer
    x = 1,163,880.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.