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Finding the Third Proportional to 276,960 and 602,528

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Solution

The third proportional to 276,960 and 602,528 is: 1,310,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,960 : 602,528 = 602,528 : x
  2. Step 2: Convert to fraction form
    276,960/602,528 = 602,528/x
  3. Step 3: Cross multiply
    276,960x = 602,528 × 602,528
  4. Step 4: Simplify right side
    276,960x = 363,039,990,784
  5. Step 5: Solve for x
    x = 363,039,990,784/276,960
  6. Step 6: Final answer
    x = 1,310,802.97

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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.