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Finding the Third Proportional to 432,442.13 and 659,323.13

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Solution

The third proportional to 432,442.13 and 659,323.13 is: 1,005,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,442.13 : 659,323.13 = 659,323.13 : x
  2. Step 2: Convert to fraction form
    432,442.13/659,323.13 = 659,323.13/x
  3. Step 3: Cross multiply
    432,442.13x = 659,323.13 × 659,323.13
  4. Step 4: Simplify right side
    432,442.13x = 434,706,983,159.77
  5. Step 5: Solve for x
    x = 434,706,983,159.77/432,442.13
  6. Step 6: Final answer
    x = 1,005,237.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.