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Finding the Third Proportional to 270,018 and 583,348.50

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Solution

The third proportional to 270,018 and 583,348.50 is: 1,260,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,018 : 583,348.50 = 583,348.50 : x
  2. Step 2: Convert to fraction form
    270,018/583,348.50 = 583,348.50/x
  3. Step 3: Cross multiply
    270,018x = 583,348.50 × 583,348.50
  4. Step 4: Simplify right side
    270,018x = 340,295,472,452.25
  5. Step 5: Solve for x
    x = 340,295,472,452.25/270,018
  6. Step 6: Final answer
    x = 1,260,269.58

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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.