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Finding the Third Proportional to 200,764 and 430,727

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Solution

The third proportional to 200,764 and 430,727 is: 924,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,764 : 430,727 = 430,727 : x
  2. Step 2: Convert to fraction form
    200,764/430,727 = 430,727/x
  3. Step 3: Cross multiply
    200,764x = 430,727 × 430,727
  4. Step 4: Simplify right side
    200,764x = 185,525,748,529
  5. Step 5: Solve for x
    x = 185,525,748,529/200,764
  6. Step 6: Final answer
    x = 924,098.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.