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Finding the Third Proportional to 292,926 and 439,389

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Solution

The third proportional to 292,926 and 439,389 is: 659,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,926 : 439,389 = 439,389 : x
  2. Step 2: Convert to fraction form
    292,926/439,389 = 439,389/x
  3. Step 3: Cross multiply
    292,926x = 439,389 × 439,389
  4. Step 4: Simplify right side
    292,926x = 193,062,693,321
  5. Step 5: Solve for x
    x = 193,062,693,321/292,926
  6. Step 6: Final answer
    x = 659,083.50

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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.