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Finding the Third Proportional to 292,940 and 439,412

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Solution

The third proportional to 292,940 and 439,412 is: 659,121.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,940 : 439,412 = 439,412 : x
  2. Step 2: Convert to fraction form
    292,940/439,412 = 439,412/x
  3. Step 3: Cross multiply
    292,940x = 439,412 × 439,412
  4. Step 4: Simplify right side
    292,940x = 193,082,905,744
  5. Step 5: Solve for x
    x = 193,082,905,744/292,940
  6. Step 6: Final answer
    x = 659,121.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.