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Finding the Third Proportional to 276,304 and 602,560

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Solution

The third proportional to 276,304 and 602,560 is: 1,314,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,304 : 602,560 = 602,560 : x
  2. Step 2: Convert to fraction form
    276,304/602,560 = 602,560/x
  3. Step 3: Cross multiply
    276,304x = 602,560 × 602,560
  4. Step 4: Simplify right side
    276,304x = 363,078,553,600
  5. Step 5: Solve for x
    x = 363,078,553,600/276,304
  6. Step 6: Final answer
    x = 1,314,054.64

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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.