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Finding the Third Proportional to 352,453.50 and 754,767

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Solution

The third proportional to 352,453.50 and 754,767 is: 1,616,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,453.50 : 754,767 = 754,767 : x
  2. Step 2: Convert to fraction form
    352,453.50/754,767 = 754,767/x
  3. Step 3: Cross multiply
    352,453.50x = 754,767 × 754,767
  4. Step 4: Simplify right side
    352,453.50x = 569,673,224,289
  5. Step 5: Solve for x
    x = 569,673,224,289/352,453.50
  6. Step 6: Final answer
    x = 1,616,307.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.