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Finding the Third Proportional to 401,884.50 and 547,281

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Solution

The third proportional to 401,884.50 and 547,281 is: 745,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,884.50 : 547,281 = 547,281 : x
  2. Step 2: Convert to fraction form
    401,884.50/547,281 = 547,281/x
  3. Step 3: Cross multiply
    401,884.50x = 547,281 × 547,281
  4. Step 4: Simplify right side
    401,884.50x = 299,516,492,961
  5. Step 5: Solve for x
    x = 299,516,492,961/401,884.50
  6. Step 6: Final answer
    x = 745,280.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.