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Finding the Third Proportional to 276,480 and 592,256

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Solution

The third proportional to 276,480 and 592,256 is: 1,268,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,480 : 592,256 = 592,256 : x
  2. Step 2: Convert to fraction form
    276,480/592,256 = 592,256/x
  3. Step 3: Cross multiply
    276,480x = 592,256 × 592,256
  4. Step 4: Simplify right side
    276,480x = 350,767,169,536
  5. Step 5: Solve for x
    x = 350,767,169,536/276,480
  6. Step 6: Final answer
    x = 1,268,689.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.