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Finding the Third Proportional to 600,038 and 876,358

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Solution

The third proportional to 600,038 and 876,358 is: 1,279,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,038 : 876,358 = 876,358 : x
  2. Step 2: Convert to fraction form
    600,038/876,358 = 876,358/x
  3. Step 3: Cross multiply
    600,038x = 876,358 × 876,358
  4. Step 4: Simplify right side
    600,038x = 768,003,344,164
  5. Step 5: Solve for x
    x = 768,003,344,164/600,038
  6. Step 6: Final answer
    x = 1,279,924.51

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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.