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Finding the Third Proportional to 235,602 and 491,076

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Solution

The third proportional to 235,602 and 491,076 is: 1,023,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,602 : 491,076 = 491,076 : x
  2. Step 2: Convert to fraction form
    235,602/491,076 = 491,076/x
  3. Step 3: Cross multiply
    235,602x = 491,076 × 491,076
  4. Step 4: Simplify right side
    235,602x = 241,155,637,776
  5. Step 5: Solve for x
    x = 241,155,637,776/235,602
  6. Step 6: Final answer
    x = 1,023,572.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.