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Finding the Third Proportional to 283,788 and 610,627.50

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Solution

The third proportional to 283,788 and 610,627.50 is: 1,313,889.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,788 : 610,627.50 = 610,627.50 : x
  2. Step 2: Convert to fraction form
    283,788/610,627.50 = 610,627.50/x
  3. Step 3: Cross multiply
    283,788x = 610,627.50 × 610,627.50
  4. Step 4: Simplify right side
    283,788x = 372,865,943,756.25
  5. Step 5: Solve for x
    x = 372,865,943,756.25/283,788
  6. Step 6: Final answer
    x = 1,313,889.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.