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Finding the Third Proportional to 432,004 and 930,235

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Solution

The third proportional to 432,004 and 930,235 is: 2,003,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,004 : 930,235 = 930,235 : x
  2. Step 2: Convert to fraction form
    432,004/930,235 = 930,235/x
  3. Step 3: Cross multiply
    432,004x = 930,235 × 930,235
  4. Step 4: Simplify right side
    432,004x = 865,337,155,225
  5. Step 5: Solve for x
    x = 865,337,155,225/432,004
  6. Step 6: Final answer
    x = 2,003,076.72

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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.