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Finding the Third Proportional to 254,376 and 553,040

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Solution

The third proportional to 254,376 and 553,040 is: 1,202,366.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,376 : 553,040 = 553,040 : x
  2. Step 2: Convert to fraction form
    254,376/553,040 = 553,040/x
  3. Step 3: Cross multiply
    254,376x = 553,040 × 553,040
  4. Step 4: Simplify right side
    254,376x = 305,853,241,600
  5. Step 5: Solve for x
    x = 305,853,241,600/254,376
  6. Step 6: Final answer
    x = 1,202,366.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.