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Finding the Third Proportional to 255,479.50 and 527,359

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Solution

The third proportional to 255,479.50 and 527,359 is: 1,088,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,479.50 : 527,359 = 527,359 : x
  2. Step 2: Convert to fraction form
    255,479.50/527,359 = 527,359/x
  3. Step 3: Cross multiply
    255,479.50x = 527,359 × 527,359
  4. Step 4: Simplify right side
    255,479.50x = 278,107,514,881
  5. Step 5: Solve for x
    x = 278,107,514,881/255,479.50
  6. Step 6: Final answer
    x = 1,088,570.77

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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.