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Finding the Third Proportional to 373,374 and 587,276

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Solution

The third proportional to 373,374 and 587,276 is: 923,720.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,374 : 587,276 = 587,276 : x
  2. Step 2: Convert to fraction form
    373,374/587,276 = 587,276/x
  3. Step 3: Cross multiply
    373,374x = 587,276 × 587,276
  4. Step 4: Simplify right side
    373,374x = 344,893,100,176
  5. Step 5: Solve for x
    x = 344,893,100,176/373,374
  6. Step 6: Final answer
    x = 923,720.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.