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Finding the Third Proportional to 581,816.25 and 1,280,272.50

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Solution

The third proportional to 581,816.25 and 1,280,272.50 is: 2,817,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,816.25 : 1,280,272.50 = 1,280,272.50 : x
  2. Step 2: Convert to fraction form
    581,816.25/1,280,272.50 = 1,280,272.50/x
  3. Step 3: Cross multiply
    581,816.25x = 1,280,272.50 × 1,280,272.50
  4. Step 4: Simplify right side
    581,816.25x = 1,639,097,674,256.25
  5. Step 5: Solve for x
    x = 1,639,097,674,256.25/581,816.25
  6. Step 6: Final answer
    x = 2,817,208.48

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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.