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Finding the Third Proportional to 513,564 and 798,379

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Solution

The third proportional to 513,564 and 798,379 is: 1,241,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,564 : 798,379 = 798,379 : x
  2. Step 2: Convert to fraction form
    513,564/798,379 = 798,379/x
  3. Step 3: Cross multiply
    513,564x = 798,379 × 798,379
  4. Step 4: Simplify right side
    513,564x = 637,409,027,641
  5. Step 5: Solve for x
    x = 637,409,027,641/513,564
  6. Step 6: Final answer
    x = 1,241,148.19

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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.