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Finding the Third Proportional to 540,178.50 and 1,160,421

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Solution

The third proportional to 540,178.50 and 1,160,421 is: 2,492,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,178.50 : 1,160,421 = 1,160,421 : x
  2. Step 2: Convert to fraction form
    540,178.50/1,160,421 = 1,160,421/x
  3. Step 3: Cross multiply
    540,178.50x = 1,160,421 × 1,160,421
  4. Step 4: Simplify right side
    540,178.50x = 1,346,576,897,241
  5. Step 5: Solve for x
    x = 1,346,576,897,241/540,178.50
  6. Step 6: Final answer
    x = 2,492,836.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.