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Finding the Third Proportional to 499,340.81 and 706,554.56

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Solution

The third proportional to 499,340.81 and 706,554.56 is: 999,756.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,340.81 : 706,554.56 = 706,554.56 : x
  2. Step 2: Convert to fraction form
    499,340.81/706,554.56 = 706,554.56/x
  3. Step 3: Cross multiply
    499,340.81x = 706,554.56 × 706,554.56
  4. Step 4: Simplify right side
    499,340.81x = 499,219,349,789.57
  5. Step 5: Solve for x
    x = 499,219,349,789.57/499,340.81
  6. Step 6: Final answer
    x = 999,756.75

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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.