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Finding the Third Proportional to 352,521 and 537,543

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Solution

The third proportional to 352,521 and 537,543 is: 819,674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,521 : 537,543 = 537,543 : x
  2. Step 2: Convert to fraction form
    352,521/537,543 = 537,543/x
  3. Step 3: Cross multiply
    352,521x = 537,543 × 537,543
  4. Step 4: Simplify right side
    352,521x = 288,952,476,849
  5. Step 5: Solve for x
    x = 288,952,476,849/352,521
  6. Step 6: Final answer
    x = 819,674.51

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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.