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Finding the Third Proportional to 276,417 and 572,514

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Solution

The third proportional to 276,417 and 572,514 is: 1,185,789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,417 : 572,514 = 572,514 : x
  2. Step 2: Convert to fraction form
    276,417/572,514 = 572,514/x
  3. Step 3: Cross multiply
    276,417x = 572,514 × 572,514
  4. Step 4: Simplify right side
    276,417x = 327,772,280,196
  5. Step 5: Solve for x
    x = 327,772,280,196/276,417
  6. Step 6: Final answer
    x = 1,185,789.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.