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Finding the Third Proportional to 344,714 and 720,660

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Solution

The third proportional to 344,714 and 720,660 is: 1,506,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,714 : 720,660 = 720,660 : x
  2. Step 2: Convert to fraction form
    344,714/720,660 = 720,660/x
  3. Step 3: Cross multiply
    344,714x = 720,660 × 720,660
  4. Step 4: Simplify right side
    344,714x = 519,350,835,600
  5. Step 5: Solve for x
    x = 519,350,835,600/344,714
  6. Step 6: Final answer
    x = 1,506,613.70

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.