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Finding the Third Proportional to 324,432 and 433,971

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Solution

The third proportional to 324,432 and 433,971 is: 580,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,432 : 433,971 = 433,971 : x
  2. Step 2: Convert to fraction form
    324,432/433,971 = 433,971/x
  3. Step 3: Cross multiply
    324,432x = 433,971 × 433,971
  4. Step 4: Simplify right side
    324,432x = 188,330,828,841
  5. Step 5: Solve for x
    x = 188,330,828,841/324,432
  6. Step 6: Final answer
    x = 580,494.00

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.