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Finding the Third Proportional to 292,896 and 439,263

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Solution

The third proportional to 292,896 and 439,263 is: 658,773.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,896 : 439,263 = 439,263 : x
  2. Step 2: Convert to fraction form
    292,896/439,263 = 439,263/x
  3. Step 3: Cross multiply
    292,896x = 439,263 × 439,263
  4. Step 4: Simplify right side
    292,896x = 192,951,983,169
  5. Step 5: Solve for x
    x = 192,951,983,169/292,896
  6. Step 6: Final answer
    x = 658,773.02

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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.