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Finding the Third Proportional to 357,378 and 552,862

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Solution

The third proportional to 357,378 and 552,862 is: 855,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,378 : 552,862 = 552,862 : x
  2. Step 2: Convert to fraction form
    357,378/552,862 = 552,862/x
  3. Step 3: Cross multiply
    357,378x = 552,862 × 552,862
  4. Step 4: Simplify right side
    357,378x = 305,656,391,044
  5. Step 5: Solve for x
    x = 305,656,391,044/357,378
  6. Step 6: Final answer
    x = 855,274.78

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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.