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Finding the Third Proportional to 383,112.50 and 805,924

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Solution

The third proportional to 383,112.50 and 805,924 is: 1,695,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,112.50 : 805,924 = 805,924 : x
  2. Step 2: Convert to fraction form
    383,112.50/805,924 = 805,924/x
  3. Step 3: Cross multiply
    383,112.50x = 805,924 × 805,924
  4. Step 4: Simplify right side
    383,112.50x = 649,513,493,776
  5. Step 5: Solve for x
    x = 649,513,493,776/383,112.50
  6. Step 6: Final answer
    x = 1,695,359.70

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.