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Finding the Third Proportional to 519,264 and 803,136

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Solution

The third proportional to 519,264 and 803,136 is: 1,242,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,264 : 803,136 = 803,136 : x
  2. Step 2: Convert to fraction form
    519,264/803,136 = 803,136/x
  3. Step 3: Cross multiply
    519,264x = 803,136 × 803,136
  4. Step 4: Simplify right side
    519,264x = 645,027,434,496
  5. Step 5: Solve for x
    x = 645,027,434,496/519,264
  6. Step 6: Final answer
    x = 1,242,195.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.