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Finding the Third Proportional to 522,510 and 807,543

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Solution

The third proportional to 522,510 and 807,543 is: 1,248,063.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,510 : 807,543 = 807,543 : x
  2. Step 2: Convert to fraction form
    522,510/807,543 = 807,543/x
  3. Step 3: Cross multiply
    522,510x = 807,543 × 807,543
  4. Step 4: Simplify right side
    522,510x = 652,125,696,849
  5. Step 5: Solve for x
    x = 652,125,696,849/522,510
  6. Step 6: Final answer
    x = 1,248,063.57

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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.