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Finding the Third Proportional to 597,200 and 1,299,370.50

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Solution

The third proportional to 597,200 and 1,299,370.50 is: 2,827,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,200 : 1,299,370.50 = 1,299,370.50 : x
  2. Step 2: Convert to fraction form
    597,200/1,299,370.50 = 1,299,370.50/x
  3. Step 3: Cross multiply
    597,200x = 1,299,370.50 × 1,299,370.50
  4. Step 4: Simplify right side
    597,200x = 1,688,363,696,270.25
  5. Step 5: Solve for x
    x = 1,688,363,696,270.25/597,200
  6. Step 6: Final answer
    x = 2,827,132.78

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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.