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Finding the Third Proportional to 388,404 and 524,763

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Solution

The third proportional to 388,404 and 524,763 is: 708,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,404 : 524,763 = 524,763 : x
  2. Step 2: Convert to fraction form
    388,404/524,763 = 524,763/x
  3. Step 3: Cross multiply
    388,404x = 524,763 × 524,763
  4. Step 4: Simplify right side
    388,404x = 275,376,206,169
  5. Step 5: Solve for x
    x = 275,376,206,169/388,404
  6. Step 6: Final answer
    x = 708,994.26

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