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Finding the Third Proportional to 276,437 and 602,895

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Solution

The third proportional to 276,437 and 602,895 is: 1,314,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,437 : 602,895 = 602,895 : x
  2. Step 2: Convert to fraction form
    276,437/602,895 = 602,895/x
  3. Step 3: Cross multiply
    276,437x = 602,895 × 602,895
  4. Step 4: Simplify right side
    276,437x = 363,482,381,025
  5. Step 5: Solve for x
    x = 363,482,381,025/276,437
  6. Step 6: Final answer
    x = 1,314,883.25

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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.