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Finding the Third Proportional to 292,980 and 439,389

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Solution

The third proportional to 292,980 and 439,389 is: 658,962.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,980 : 439,389 = 439,389 : x
  2. Step 2: Convert to fraction form
    292,980/439,389 = 439,389/x
  3. Step 3: Cross multiply
    292,980x = 439,389 × 439,389
  4. Step 4: Simplify right side
    292,980x = 193,062,693,321
  5. Step 5: Solve for x
    x = 193,062,693,321/292,980
  6. Step 6: Final answer
    x = 658,962.02

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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.