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Finding the Third Proportional to 337,034 and 715,630

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Solution

The third proportional to 337,034 and 715,630 is: 1,519,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,034 : 715,630 = 715,630 : x
  2. Step 2: Convert to fraction form
    337,034/715,630 = 715,630/x
  3. Step 3: Cross multiply
    337,034x = 715,630 × 715,630
  4. Step 4: Simplify right side
    337,034x = 512,126,296,900
  5. Step 5: Solve for x
    x = 512,126,296,900/337,034
  6. Step 6: Final answer
    x = 1,519,509.30

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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.