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Finding the Third Proportional to 343,899 and 755,869.50

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Solution

The third proportional to 343,899 and 755,869.50 is: 1,661,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,899 : 755,869.50 = 755,869.50 : x
  2. Step 2: Convert to fraction form
    343,899/755,869.50 = 755,869.50/x
  3. Step 3: Cross multiply
    343,899x = 755,869.50 × 755,869.50
  4. Step 4: Simplify right side
    343,899x = 571,338,701,030.25
  5. Step 5: Solve for x
    x = 571,338,701,030.25/343,899
  6. Step 6: Final answer
    x = 1,661,356.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.