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Finding the Third Proportional to 313,597 and 471,102

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Solution

The third proportional to 313,597 and 471,102 is: 707,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,597 : 471,102 = 471,102 : x
  2. Step 2: Convert to fraction form
    313,597/471,102 = 471,102/x
  3. Step 3: Cross multiply
    313,597x = 471,102 × 471,102
  4. Step 4: Simplify right side
    313,597x = 221,937,094,404
  5. Step 5: Solve for x
    x = 221,937,094,404/313,597
  6. Step 6: Final answer
    x = 707,714.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.