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Finding the Third Proportional to 265,680 and 583,200

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Solution

The third proportional to 265,680 and 583,200 is: 1,280,195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,680 : 583,200 = 583,200 : x
  2. Step 2: Convert to fraction form
    265,680/583,200 = 583,200/x
  3. Step 3: Cross multiply
    265,680x = 583,200 × 583,200
  4. Step 4: Simplify right side
    265,680x = 340,122,240,000
  5. Step 5: Solve for x
    x = 340,122,240,000/265,680
  6. Step 6: Final answer
    x = 1,280,195.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.