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Finding the Third Proportional to 270,029 and 583,380

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Solution

The third proportional to 270,029 and 583,380 is: 1,260,354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,029 : 583,380 = 583,380 : x
  2. Step 2: Convert to fraction form
    270,029/583,380 = 583,380/x
  3. Step 3: Cross multiply
    270,029x = 583,380 × 583,380
  4. Step 4: Simplify right side
    270,029x = 340,332,224,400
  5. Step 5: Solve for x
    x = 340,332,224,400/270,029
  6. Step 6: Final answer
    x = 1,260,354.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.