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Finding the Third Proportional to 228,392 and 491,784

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Solution

The third proportional to 228,392 and 491,784 is: 1,058,931.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,392 : 491,784 = 491,784 : x
  2. Step 2: Convert to fraction form
    228,392/491,784 = 491,784/x
  3. Step 3: Cross multiply
    228,392x = 491,784 × 491,784
  4. Step 4: Simplify right side
    228,392x = 241,851,502,656
  5. Step 5: Solve for x
    x = 241,851,502,656/228,392
  6. Step 6: Final answer
    x = 1,058,931.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.