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Finding the Third Proportional to 547,524 and 802,368

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Solution

The third proportional to 547,524 and 802,368 is: 1,175,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,524 : 802,368 = 802,368 : x
  2. Step 2: Convert to fraction form
    547,524/802,368 = 802,368/x
  3. Step 3: Cross multiply
    547,524x = 802,368 × 802,368
  4. Step 4: Simplify right side
    547,524x = 643,794,407,424
  5. Step 5: Solve for x
    x = 643,794,407,424/547,524
  6. Step 6: Final answer
    x = 1,175,828.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.