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Finding the Third Proportional to 337,014 and 715,590

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Solution

The third proportional to 337,014 and 715,590 is: 1,519,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,014 : 715,590 = 715,590 : x
  2. Step 2: Convert to fraction form
    337,014/715,590 = 715,590/x
  3. Step 3: Cross multiply
    337,014x = 715,590 × 715,590
  4. Step 4: Simplify right side
    337,014x = 512,069,048,100
  5. Step 5: Solve for x
    x = 512,069,048,100/337,014
  6. Step 6: Final answer
    x = 1,519,429.60

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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.