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Finding the Third Proportional to 337,054 and 715,660

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Solution

The third proportional to 337,054 and 715,660 is: 1,519,546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,054 : 715,660 = 715,660 : x
  2. Step 2: Convert to fraction form
    337,054/715,660 = 715,660/x
  3. Step 3: Cross multiply
    337,054x = 715,660 × 715,660
  4. Step 4: Simplify right side
    337,054x = 512,169,235,600
  5. Step 5: Solve for x
    x = 512,169,235,600/337,054
  6. Step 6: Final answer
    x = 1,519,546.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.