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Finding the Third Proportional to 499,700 and 799,230

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Solution

The third proportional to 499,700 and 799,230 is: 1,278,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,700 : 799,230 = 799,230 : x
  2. Step 2: Convert to fraction form
    499,700/799,230 = 799,230/x
  3. Step 3: Cross multiply
    499,700x = 799,230 × 799,230
  4. Step 4: Simplify right side
    499,700x = 638,768,592,900
  5. Step 5: Solve for x
    x = 638,768,592,900/499,700
  6. Step 6: Final answer
    x = 1,278,304.17

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.