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Finding the Third Proportional to 276,944 and 602,486

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Solution

The third proportional to 276,944 and 602,486 is: 1,310,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,944 : 602,486 = 602,486 : x
  2. Step 2: Convert to fraction form
    276,944/602,486 = 602,486/x
  3. Step 3: Cross multiply
    276,944x = 602,486 × 602,486
  4. Step 4: Simplify right side
    276,944x = 362,989,380,196
  5. Step 5: Solve for x
    x = 362,989,380,196/276,944
  6. Step 6: Final answer
    x = 1,310,695.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.