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Finding the Third Proportional to 272,614.50 and 578,277

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Solution

The third proportional to 272,614.50 and 578,277 is: 1,226,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,614.50 : 578,277 = 578,277 : x
  2. Step 2: Convert to fraction form
    272,614.50/578,277 = 578,277/x
  3. Step 3: Cross multiply
    272,614.50x = 578,277 × 578,277
  4. Step 4: Simplify right side
    272,614.50x = 334,404,288,729
  5. Step 5: Solve for x
    x = 334,404,288,729/272,614.50
  6. Step 6: Final answer
    x = 1,226,656.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.