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Finding the Third Proportional to 337,052 and 715,656

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Solution

The third proportional to 337,052 and 715,656 is: 1,519,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,052 : 715,656 = 715,656 : x
  2. Step 2: Convert to fraction form
    337,052/715,656 = 715,656/x
  3. Step 3: Cross multiply
    337,052x = 715,656 × 715,656
  4. Step 4: Simplify right side
    337,052x = 512,163,510,336
  5. Step 5: Solve for x
    x = 512,163,510,336/337,052
  6. Step 6: Final answer
    x = 1,519,538.56

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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.