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Finding the Third Proportional to 354,636 and 532,312

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Solution

The third proportional to 354,636 and 532,312 is: 799,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,636 : 532,312 = 532,312 : x
  2. Step 2: Convert to fraction form
    354,636/532,312 = 532,312/x
  3. Step 3: Cross multiply
    354,636x = 532,312 × 532,312
  4. Step 4: Simplify right side
    354,636x = 283,356,065,344
  5. Step 5: Solve for x
    x = 283,356,065,344/354,636
  6. Step 6: Final answer
    x = 799,005.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.