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Finding the Third Proportional to 432,019.50 and 942,654

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Solution

The third proportional to 432,019.50 and 942,654 is: 2,056,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,019.50 : 942,654 = 942,654 : x
  2. Step 2: Convert to fraction form
    432,019.50/942,654 = 942,654/x
  3. Step 3: Cross multiply
    432,019.50x = 942,654 × 942,654
  4. Step 4: Simplify right side
    432,019.50x = 888,596,563,716
  5. Step 5: Solve for x
    x = 888,596,563,716/432,019.50
  6. Step 6: Final answer
    x = 2,056,843.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.