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Finding the Third Proportional to 272,038.50 and 520,074

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Solution

The third proportional to 272,038.50 and 520,074 is: 994,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,038.50 : 520,074 = 520,074 : x
  2. Step 2: Convert to fraction form
    272,038.50/520,074 = 520,074/x
  3. Step 3: Cross multiply
    272,038.50x = 520,074 × 520,074
  4. Step 4: Simplify right side
    272,038.50x = 270,476,965,476
  5. Step 5: Solve for x
    x = 270,476,965,476/272,038.50
  6. Step 6: Final answer
    x = 994,259.88

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.