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Finding the Third Proportional to 349,548 and 526,052

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Solution

The third proportional to 349,548 and 526,052 is: 791,681.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,548 : 526,052 = 526,052 : x
  2. Step 2: Convert to fraction form
    349,548/526,052 = 526,052/x
  3. Step 3: Cross multiply
    349,548x = 526,052 × 526,052
  4. Step 4: Simplify right side
    349,548x = 276,730,706,704
  5. Step 5: Solve for x
    x = 276,730,706,704/349,548
  6. Step 6: Final answer
    x = 791,681.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.