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Finding the Third Proportional to 499,117.50 and 706,225.50

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Solution

The third proportional to 499,117.50 and 706,225.50 is: 999,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,117.50 : 706,225.50 = 706,225.50 : x
  2. Step 2: Convert to fraction form
    499,117.50/706,225.50 = 706,225.50/x
  3. Step 3: Cross multiply
    499,117.50x = 706,225.50 × 706,225.50
  4. Step 4: Simplify right side
    499,117.50x = 498,754,456,850.25
  5. Step 5: Solve for x
    x = 498,754,456,850.25/499,117.50
  6. Step 6: Final answer
    x = 999,272.63

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.