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Finding the Third Proportional to 255,492 and 527,385

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Solution

The third proportional to 255,492 and 527,385 is: 1,088,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,492 : 527,385 = 527,385 : x
  2. Step 2: Convert to fraction form
    255,492/527,385 = 527,385/x
  3. Step 3: Cross multiply
    255,492x = 527,385 × 527,385
  4. Step 4: Simplify right side
    255,492x = 278,134,938,225
  5. Step 5: Solve for x
    x = 278,134,938,225/255,492
  6. Step 6: Final answer
    x = 1,088,624.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.