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Finding the Third Proportional to 349,209 and 767,002

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Solution

The third proportional to 349,209 and 767,002 is: 1,684,641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,209 : 767,002 = 767,002 : x
  2. Step 2: Convert to fraction form
    349,209/767,002 = 767,002/x
  3. Step 3: Cross multiply
    349,209x = 767,002 × 767,002
  4. Step 4: Simplify right side
    349,209x = 588,292,068,004
  5. Step 5: Solve for x
    x = 588,292,068,004/349,209
  6. Step 6: Final answer
    x = 1,684,641.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.