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Finding the Third Proportional to 352,523 and 537,546

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Solution

The third proportional to 352,523 and 537,546 is: 819,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,523 : 537,546 = 537,546 : x
  2. Step 2: Convert to fraction form
    352,523/537,546 = 537,546/x
  3. Step 3: Cross multiply
    352,523x = 537,546 × 537,546
  4. Step 4: Simplify right side
    352,523x = 288,955,702,116
  5. Step 5: Solve for x
    x = 288,955,702,116/352,523
  6. Step 6: Final answer
    x = 819,679.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.