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Finding the Third Proportional to 350,838 and 533,637

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Solution

The third proportional to 350,838 and 533,637 is: 811,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,838 : 533,637 = 533,637 : x
  2. Step 2: Convert to fraction form
    350,838/533,637 = 533,637/x
  3. Step 3: Cross multiply
    350,838x = 533,637 × 533,637
  4. Step 4: Simplify right side
    350,838x = 284,768,447,769
  5. Step 5: Solve for x
    x = 284,768,447,769/350,838
  6. Step 6: Final answer
    x = 811,680.74

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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.