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Finding the Third Proportional to 201,818 and 432,613

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Solution

The third proportional to 201,818 and 432,613 is: 927,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,818 : 432,613 = 432,613 : x
  2. Step 2: Convert to fraction form
    201,818/432,613 = 432,613/x
  3. Step 3: Cross multiply
    201,818x = 432,613 × 432,613
  4. Step 4: Simplify right side
    201,818x = 187,154,007,769
  5. Step 5: Solve for x
    x = 187,154,007,769/201,818
  6. Step 6: Final answer
    x = 927,340.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.