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Finding the Third Proportional to 432,276 and 931,134

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Solution

The third proportional to 432,276 and 931,134 is: 2,005,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,276 : 931,134 = 931,134 : x
  2. Step 2: Convert to fraction form
    432,276/931,134 = 931,134/x
  3. Step 3: Cross multiply
    432,276x = 931,134 × 931,134
  4. Step 4: Simplify right side
    432,276x = 867,010,525,956
  5. Step 5: Solve for x
    x = 867,010,525,956/432,276
  6. Step 6: Final answer
    x = 2,005,687.40

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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.