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Finding the Third Proportional to 235,858 and 362,963

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Solution

The third proportional to 235,858 and 362,963 is: 558,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,858 : 362,963 = 362,963 : x
  2. Step 2: Convert to fraction form
    235,858/362,963 = 362,963/x
  3. Step 3: Cross multiply
    235,858x = 362,963 × 362,963
  4. Step 4: Simplify right side
    235,858x = 131,742,139,369
  5. Step 5: Solve for x
    x = 131,742,139,369/235,858
  6. Step 6: Final answer
    x = 558,565.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.