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Finding the Third Proportional to 349,903.13 and 526,186.13

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Solution

The third proportional to 349,903.13 and 526,186.13 is: 791,281.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,903.13 : 526,186.13 = 526,186.13 : x
  2. Step 2: Convert to fraction form
    349,903.13/526,186.13 = 526,186.13/x
  3. Step 3: Cross multiply
    349,903.13x = 526,186.13 × 526,186.13
  4. Step 4: Simplify right side
    349,903.13x = 276,871,838,142.52
  5. Step 5: Solve for x
    x = 276,871,838,142.52/349,903.13
  6. Step 6: Final answer
    x = 791,281.41

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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.