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Finding the Third Proportional to 270,111 and 625,327.50

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Solution

The third proportional to 270,111 and 625,327.50 is: 1,447,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,111 : 625,327.50 = 625,327.50 : x
  2. Step 2: Convert to fraction form
    270,111/625,327.50 = 625,327.50/x
  3. Step 3: Cross multiply
    270,111x = 625,327.50 × 625,327.50
  4. Step 4: Simplify right side
    270,111x = 391,034,482,256.25
  5. Step 5: Solve for x
    x = 391,034,482,256.25/270,111
  6. Step 6: Final answer
    x = 1,447,680.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.