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Finding the Third Proportional to 352,551 and 537,089

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Solution

The third proportional to 352,551 and 537,089 is: 818,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,551 : 537,089 = 537,089 : x
  2. Step 2: Convert to fraction form
    352,551/537,089 = 537,089/x
  3. Step 3: Cross multiply
    352,551x = 537,089 × 537,089
  4. Step 4: Simplify right side
    352,551x = 288,464,593,921
  5. Step 5: Solve for x
    x = 288,464,593,921/352,551
  6. Step 6: Final answer
    x = 818,220.89

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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.