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Finding the Third Proportional to 432,234 and 931,050

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Solution

The third proportional to 432,234 and 931,050 is: 2,005,520.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,234 : 931,050 = 931,050 : x
  2. Step 2: Convert to fraction form
    432,234/931,050 = 931,050/x
  3. Step 3: Cross multiply
    432,234x = 931,050 × 931,050
  4. Step 4: Simplify right side
    432,234x = 866,854,102,500
  5. Step 5: Solve for x
    x = 866,854,102,500/432,234
  6. Step 6: Final answer
    x = 2,005,520.40

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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.