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Finding the Third Proportional to 375,758 and 662,248

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Solution

The third proportional to 375,758 and 662,248 is: 1,167,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,758 : 662,248 = 662,248 : x
  2. Step 2: Convert to fraction form
    375,758/662,248 = 662,248/x
  3. Step 3: Cross multiply
    375,758x = 662,248 × 662,248
  4. Step 4: Simplify right side
    375,758x = 438,572,413,504
  5. Step 5: Solve for x
    x = 438,572,413,504/375,758
  6. Step 6: Final answer
    x = 1,167,167.20

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.