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Finding the Third Proportional to 475,842 and 700,614

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Solution

The third proportional to 475,842 and 700,614 is: 1,031,560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,842 : 700,614 = 700,614 : x
  2. Step 2: Convert to fraction form
    475,842/700,614 = 700,614/x
  3. Step 3: Cross multiply
    475,842x = 700,614 × 700,614
  4. Step 4: Simplify right side
    475,842x = 490,859,976,996
  5. Step 5: Solve for x
    x = 490,859,976,996/475,842
  6. Step 6: Final answer
    x = 1,031,560.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.