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Finding the Third Proportional to 526,598 and 771,151

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Solution

The third proportional to 526,598 and 771,151 is: 1,129,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,598 : 771,151 = 771,151 : x
  2. Step 2: Convert to fraction form
    526,598/771,151 = 771,151/x
  3. Step 3: Cross multiply
    526,598x = 771,151 × 771,151
  4. Step 4: Simplify right side
    526,598x = 594,673,864,801
  5. Step 5: Solve for x
    x = 594,673,864,801/526,598
  6. Step 6: Final answer
    x = 1,129,274.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.