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Finding the Third Proportional to 388,248 and 585,108

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Solution

The third proportional to 388,248 and 585,108 is: 881,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,248 : 585,108 = 585,108 : x
  2. Step 2: Convert to fraction form
    388,248/585,108 = 585,108/x
  3. Step 3: Cross multiply
    388,248x = 585,108 × 585,108
  4. Step 4: Simplify right side
    388,248x = 342,351,371,664
  5. Step 5: Solve for x
    x = 342,351,371,664/388,248
  6. Step 6: Final answer
    x = 881,785.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.