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Finding the Third Proportional to 524,730 and 810,282

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Solution

The third proportional to 524,730 and 810,282 is: 1,251,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,730 : 810,282 = 810,282 : x
  2. Step 2: Convert to fraction form
    524,730/810,282 = 810,282/x
  3. Step 3: Cross multiply
    524,730x = 810,282 × 810,282
  4. Step 4: Simplify right side
    524,730x = 656,556,919,524
  5. Step 5: Solve for x
    x = 656,556,919,524/524,730
  6. Step 6: Final answer
    x = 1,251,228.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.