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Finding the Third Proportional to 526,410 and 769,959

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Solution

The third proportional to 526,410 and 769,959 is: 1,126,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,410 : 769,959 = 769,959 : x
  2. Step 2: Convert to fraction form
    526,410/769,959 = 769,959/x
  3. Step 3: Cross multiply
    526,410x = 769,959 × 769,959
  4. Step 4: Simplify right side
    526,410x = 592,836,861,681
  5. Step 5: Solve for x
    x = 592,836,861,681/526,410
  6. Step 6: Final answer
    x = 1,126,188.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.