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Finding the Third Proportional to 600,540.75 and 706,416.19

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Solution

The third proportional to 600,540.75 and 706,416.19 is: 830,957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,540.75 : 706,416.19 = 706,416.19 : x
  2. Step 2: Convert to fraction form
    600,540.75/706,416.19 = 706,416.19/x
  3. Step 3: Cross multiply
    600,540.75x = 706,416.19 × 706,416.19
  4. Step 4: Simplify right side
    600,540.75x = 499,023,829,962.04
  5. Step 5: Solve for x
    x = 499,023,829,962.04/600,540.75
  6. Step 6: Final answer
    x = 830,957.48

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.