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Finding the Third Proportional to 352,644 and 537,224

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Solution

The third proportional to 352,644 and 537,224 is: 818,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,644 : 537,224 = 537,224 : x
  2. Step 2: Convert to fraction form
    352,644/537,224 = 537,224/x
  3. Step 3: Cross multiply
    352,644x = 537,224 × 537,224
  4. Step 4: Simplify right side
    352,644x = 288,609,626,176
  5. Step 5: Solve for x
    x = 288,609,626,176/352,644
  6. Step 6: Final answer
    x = 818,416.38

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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.