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Finding the Third Proportional to 313,466 and 739,853

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Solution

The third proportional to 313,466 and 739,853 is: 1,746,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,466 : 739,853 = 739,853 : x
  2. Step 2: Convert to fraction form
    313,466/739,853 = 739,853/x
  3. Step 3: Cross multiply
    313,466x = 739,853 × 739,853
  4. Step 4: Simplify right side
    313,466x = 547,382,461,609
  5. Step 5: Solve for x
    x = 547,382,461,609/313,466
  6. Step 6: Final answer
    x = 1,746,225.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.