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Finding the Third Proportional to 225,913.50 and 466,587

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Solution

The third proportional to 225,913.50 and 466,587 is: 963,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,913.50 : 466,587 = 466,587 : x
  2. Step 2: Convert to fraction form
    225,913.50/466,587 = 466,587/x
  3. Step 3: Cross multiply
    225,913.50x = 466,587 × 466,587
  4. Step 4: Simplify right side
    225,913.50x = 217,703,428,569
  5. Step 5: Solve for x
    x = 217,703,428,569/225,913.50
  6. Step 6: Final answer
    x = 963,658.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.