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Finding the Third Proportional to 352,553 and 537,089.50

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Solution

The third proportional to 352,553 and 537,089.50 is: 818,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,553 : 537,089.50 = 537,089.50 : x
  2. Step 2: Convert to fraction form
    352,553/537,089.50 = 537,089.50/x
  3. Step 3: Cross multiply
    352,553x = 537,089.50 × 537,089.50
  4. Step 4: Simplify right side
    352,553x = 288,465,131,010.25
  5. Step 5: Solve for x
    x = 288,465,131,010.25/352,553
  6. Step 6: Final answer
    x = 818,217.77

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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.