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Finding the Third Proportional to 277,124 and 598,528

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Solution

The third proportional to 277,124 and 598,528 is: 1,292,691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,124 : 598,528 = 598,528 : x
  2. Step 2: Convert to fraction form
    277,124/598,528 = 598,528/x
  3. Step 3: Cross multiply
    277,124x = 598,528 × 598,528
  4. Step 4: Simplify right side
    277,124x = 358,235,766,784
  5. Step 5: Solve for x
    x = 358,235,766,784/277,124
  6. Step 6: Final answer
    x = 1,292,691.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.