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Finding the Third Proportional to 349,074 and 526,527

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Solution

The third proportional to 349,074 and 526,527 is: 794,188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,074 : 526,527 = 526,527 : x
  2. Step 2: Convert to fraction form
    349,074/526,527 = 526,527/x
  3. Step 3: Cross multiply
    349,074x = 526,527 × 526,527
  4. Step 4: Simplify right side
    349,074x = 277,230,681,729
  5. Step 5: Solve for x
    x = 277,230,681,729/349,074
  6. Step 6: Final answer
    x = 794,188.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.