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Finding the Third Proportional to 342,597 and 737,687

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Solution

The third proportional to 342,597 and 737,687 is: 1,588,403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,597 : 737,687 = 737,687 : x
  2. Step 2: Convert to fraction form
    342,597/737,687 = 737,687/x
  3. Step 3: Cross multiply
    342,597x = 737,687 × 737,687
  4. Step 4: Simplify right side
    342,597x = 544,182,109,969
  5. Step 5: Solve for x
    x = 544,182,109,969/342,597
  6. Step 6: Final answer
    x = 1,588,403.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.