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Finding the Third Proportional to 432,583 and 931,724

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Solution

The third proportional to 432,583 and 931,724 is: 2,006,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,583 : 931,724 = 931,724 : x
  2. Step 2: Convert to fraction form
    432,583/931,724 = 931,724/x
  3. Step 3: Cross multiply
    432,583x = 931,724 × 931,724
  4. Step 4: Simplify right side
    432,583x = 868,109,612,176
  5. Step 5: Solve for x
    x = 868,109,612,176/432,583
  6. Step 6: Final answer
    x = 2,006,804.73

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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.