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Finding the Third Proportional to 235,384 and 514,780

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Solution

The third proportional to 235,384 and 514,780 is: 1,125,813.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,384 : 514,780 = 514,780 : x
  2. Step 2: Convert to fraction form
    235,384/514,780 = 514,780/x
  3. Step 3: Cross multiply
    235,384x = 514,780 × 514,780
  4. Step 4: Simplify right side
    235,384x = 264,998,448,400
  5. Step 5: Solve for x
    x = 264,998,448,400/235,384
  6. Step 6: Final answer
    x = 1,125,813.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.