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Finding the Third Proportional to 399,048 and 875,701.50

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Solution

The third proportional to 399,048 and 875,701.50 is: 1,921,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,048 : 875,701.50 = 875,701.50 : x
  2. Step 2: Convert to fraction form
    399,048/875,701.50 = 875,701.50/x
  3. Step 3: Cross multiply
    399,048x = 875,701.50 × 875,701.50
  4. Step 4: Simplify right side
    399,048x = 766,853,117,102.25
  5. Step 5: Solve for x
    x = 766,853,117,102.25/399,048
  6. Step 6: Final answer
    x = 1,921,706.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.