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Finding the Third Proportional to 513,584 and 798,352

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Solution

The third proportional to 513,584 and 798,352 is: 1,241,015.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,584 : 798,352 = 798,352 : x
  2. Step 2: Convert to fraction form
    513,584/798,352 = 798,352/x
  3. Step 3: Cross multiply
    513,584x = 798,352 × 798,352
  4. Step 4: Simplify right side
    513,584x = 637,365,915,904
  5. Step 5: Solve for x
    x = 637,365,915,904/513,584
  6. Step 6: Final answer
    x = 1,241,015.91

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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.