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Finding the Third Proportional to 255,508 and 537,500

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Solution

The third proportional to 255,508 and 537,500 is: 1,130,713.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,508 : 537,500 = 537,500 : x
  2. Step 2: Convert to fraction form
    255,508/537,500 = 537,500/x
  3. Step 3: Cross multiply
    255,508x = 537,500 × 537,500
  4. Step 4: Simplify right side
    255,508x = 288,906,250,000
  5. Step 5: Solve for x
    x = 288,906,250,000/255,508
  6. Step 6: Final answer
    x = 1,130,713.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.