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Finding the Third Proportional to 253,072.50 and 550,428

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Solution

The third proportional to 253,072.50 and 550,428 is: 1,197,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,072.50 : 550,428 = 550,428 : x
  2. Step 2: Convert to fraction form
    253,072.50/550,428 = 550,428/x
  3. Step 3: Cross multiply
    253,072.50x = 550,428 × 550,428
  4. Step 4: Simplify right side
    253,072.50x = 302,970,983,184
  5. Step 5: Solve for x
    x = 302,970,983,184/253,072.50
  6. Step 6: Final answer
    x = 1,197,170.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.