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Finding the Third Proportional to 624,110 and 913,950

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Solution

The third proportional to 624,110 and 913,950 is: 1,338,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,110 : 913,950 = 913,950 : x
  2. Step 2: Convert to fraction form
    624,110/913,950 = 913,950/x
  3. Step 3: Cross multiply
    624,110x = 913,950 × 913,950
  4. Step 4: Simplify right side
    624,110x = 835,304,602,500
  5. Step 5: Solve for x
    x = 835,304,602,500/624,110
  6. Step 6: Final answer
    x = 1,338,393.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.