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Finding the Third Proportional to 347,590 and 761,620

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Solution

The third proportional to 347,590 and 761,620 is: 1,668,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,590 : 761,620 = 761,620 : x
  2. Step 2: Convert to fraction form
    347,590/761,620 = 761,620/x
  3. Step 3: Cross multiply
    347,590x = 761,620 × 761,620
  4. Step 4: Simplify right side
    347,590x = 580,065,024,400
  5. Step 5: Solve for x
    x = 580,065,024,400/347,590
  6. Step 6: Final answer
    x = 1,668,819.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.