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Finding the Third Proportional to 708,471 and 823,630.50

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Solution

The third proportional to 708,471 and 823,630.50 is: 957,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,471 : 823,630.50 = 823,630.50 : x
  2. Step 2: Convert to fraction form
    708,471/823,630.50 = 823,630.50/x
  3. Step 3: Cross multiply
    708,471x = 823,630.50 × 823,630.50
  4. Step 4: Simplify right side
    708,471x = 678,367,200,530.25
  5. Step 5: Solve for x
    x = 678,367,200,530.25/708,471
  6. Step 6: Final answer
    x = 957,508.78

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.