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Finding the Third Proportional to 608,312.25 and 1,323,652.50

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Solution

The third proportional to 608,312.25 and 1,323,652.50 is: 2,880,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,312.25 : 1,323,652.50 = 1,323,652.50 : x
  2. Step 2: Convert to fraction form
    608,312.25/1,323,652.50 = 1,323,652.50/x
  3. Step 3: Cross multiply
    608,312.25x = 1,323,652.50 × 1,323,652.50
  4. Step 4: Simplify right side
    608,312.25x = 1,752,055,940,756.25
  5. Step 5: Solve for x
    x = 1,752,055,940,756.25/608,312.25
  6. Step 6: Final answer
    x = 2,880,191.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.