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Finding the Third Proportional to 397,548 and 616,248

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Solution

The third proportional to 397,548 and 616,248 is: 955,259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,548 : 616,248 = 616,248 : x
  2. Step 2: Convert to fraction form
    397,548/616,248 = 616,248/x
  3. Step 3: Cross multiply
    397,548x = 616,248 × 616,248
  4. Step 4: Simplify right side
    397,548x = 379,761,597,504
  5. Step 5: Solve for x
    x = 379,761,597,504/397,548
  6. Step 6: Final answer
    x = 955,259.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.