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Finding the Third Proportional to 499,225.50 and 706,387.50

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Solution

The third proportional to 499,225.50 and 706,387.50 is: 999,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,225.50 : 706,387.50 = 706,387.50 : x
  2. Step 2: Convert to fraction form
    499,225.50/706,387.50 = 706,387.50/x
  3. Step 3: Cross multiply
    499,225.50x = 706,387.50 × 706,387.50
  4. Step 4: Simplify right side
    499,225.50x = 498,983,300,156.25
  5. Step 5: Solve for x
    x = 498,983,300,156.25/499,225.50
  6. Step 6: Final answer
    x = 999,514.85

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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.