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Finding the Third Proportional to 354,723 and 532,444.50

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Solution

The third proportional to 354,723 and 532,444.50 is: 799,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,723 : 532,444.50 = 532,444.50 : x
  2. Step 2: Convert to fraction form
    354,723/532,444.50 = 532,444.50/x
  3. Step 3: Cross multiply
    354,723x = 532,444.50 × 532,444.50
  4. Step 4: Simplify right side
    354,723x = 283,497,145,580.25
  5. Step 5: Solve for x
    x = 283,497,145,580.25/354,723
  6. Step 6: Final answer
    x = 799,207.12

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Why These Related Problems?

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