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Finding the Third Proportional to 388,359 and 524,696

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Solution

The third proportional to 388,359 and 524,696 is: 708,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,359 : 524,696 = 524,696 : x
  2. Step 2: Convert to fraction form
    388,359/524,696 = 524,696/x
  3. Step 3: Cross multiply
    388,359x = 524,696 × 524,696
  4. Step 4: Simplify right side
    388,359x = 275,305,892,416
  5. Step 5: Solve for x
    x = 275,305,892,416/388,359
  6. Step 6: Final answer
    x = 708,895.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.