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Finding the Third Proportional to 602,014 and 936,231

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Solution

The third proportional to 602,014 and 936,231 is: 1,455,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,014 : 936,231 = 936,231 : x
  2. Step 2: Convert to fraction form
    602,014/936,231 = 936,231/x
  3. Step 3: Cross multiply
    602,014x = 936,231 × 936,231
  4. Step 4: Simplify right side
    602,014x = 876,528,485,361
  5. Step 5: Solve for x
    x = 876,528,485,361/602,014
  6. Step 6: Final answer
    x = 1,455,993.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.