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Finding the Third Proportional to 292,383 and 437,384.25

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Solution

The third proportional to 292,383 and 437,384.25 is: 654,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,383 : 437,384.25 = 437,384.25 : x
  2. Step 2: Convert to fraction form
    292,383/437,384.25 = 437,384.25/x
  3. Step 3: Cross multiply
    292,383x = 437,384.25 × 437,384.25
  4. Step 4: Simplify right side
    292,383x = 191,304,982,148.06
  5. Step 5: Solve for x
    x = 191,304,982,148.06/292,383
  6. Step 6: Final answer
    x = 654,295.85

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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.