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Finding the Third Proportional to 512,466 and 748,951

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Solution

The third proportional to 512,466 and 748,951 is: 1,094,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,466 : 748,951 = 748,951 : x
  2. Step 2: Convert to fraction form
    512,466/748,951 = 748,951/x
  3. Step 3: Cross multiply
    512,466x = 748,951 × 748,951
  4. Step 4: Simplify right side
    512,466x = 560,927,600,401
  5. Step 5: Solve for x
    x = 560,927,600,401/512,466
  6. Step 6: Final answer
    x = 1,094,565.49

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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.