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Finding the Third Proportional to 359,397 and 771,282

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Solution

The third proportional to 359,397 and 771,282 is: 1,655,205.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,397 : 771,282 = 771,282 : x
  2. Step 2: Convert to fraction form
    359,397/771,282 = 771,282/x
  3. Step 3: Cross multiply
    359,397x = 771,282 × 771,282
  4. Step 4: Simplify right side
    359,397x = 594,875,923,524
  5. Step 5: Solve for x
    x = 594,875,923,524/359,397
  6. Step 6: Final answer
    x = 1,655,205.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.