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Finding the Third Proportional to 276,970 and 602,548

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Solution

The third proportional to 276,970 and 602,548 is: 1,310,842.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,970 : 602,548 = 602,548 : x
  2. Step 2: Convert to fraction form
    276,970/602,548 = 602,548/x
  3. Step 3: Cross multiply
    276,970x = 602,548 × 602,548
  4. Step 4: Simplify right side
    276,970x = 363,064,092,304
  5. Step 5: Solve for x
    x = 363,064,092,304/276,970
  6. Step 6: Final answer
    x = 1,310,842.66

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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.