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Finding the Third Proportional to 600,053 and 876,376

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Solution

The third proportional to 600,053 and 876,376 is: 1,279,945.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,053 : 876,376 = 876,376 : x
  2. Step 2: Convert to fraction form
    600,053/876,376 = 876,376/x
  3. Step 3: Cross multiply
    600,053x = 876,376 × 876,376
  4. Step 4: Simplify right side
    600,053x = 768,034,893,376
  5. Step 5: Solve for x
    x = 768,034,893,376/600,053
  6. Step 6: Final answer
    x = 1,279,945.09

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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.