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Finding the Third Proportional to 513,200 and 739,246

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Solution

The third proportional to 513,200 and 739,246 is: 1,064,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,200 : 739,246 = 739,246 : x
  2. Step 2: Convert to fraction form
    513,200/739,246 = 739,246/x
  3. Step 3: Cross multiply
    513,200x = 739,246 × 739,246
  4. Step 4: Simplify right side
    513,200x = 546,484,648,516
  5. Step 5: Solve for x
    x = 546,484,648,516/513,200
  6. Step 6: Final answer
    x = 1,064,857.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.