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Finding the Third Proportional to 347,166 and 526,581

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Solution

The third proportional to 347,166 and 526,581 is: 798,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,166 : 526,581 = 526,581 : x
  2. Step 2: Convert to fraction form
    347,166/526,581 = 526,581/x
  3. Step 3: Cross multiply
    347,166x = 526,581 × 526,581
  4. Step 4: Simplify right side
    347,166x = 277,287,549,561
  5. Step 5: Solve for x
    x = 277,287,549,561/347,166
  6. Step 6: Final answer
    x = 798,717.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.