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Finding the Third Proportional to 257,348 and 557,632

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Solution

The third proportional to 257,348 and 557,632 is: 1,208,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,348 : 557,632 = 557,632 : x
  2. Step 2: Convert to fraction form
    257,348/557,632 = 557,632/x
  3. Step 3: Cross multiply
    257,348x = 557,632 × 557,632
  4. Step 4: Simplify right side
    257,348x = 310,953,447,424
  5. Step 5: Solve for x
    x = 310,953,447,424/257,348
  6. Step 6: Final answer
    x = 1,208,299.45

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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.