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Finding the Third Proportional to 624,105 and 913,943.25

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Solution

The third proportional to 624,105 and 913,943.25 is: 1,338,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,105 : 913,943.25 = 913,943.25 : x
  2. Step 2: Convert to fraction form
    624,105/913,943.25 = 913,943.25/x
  3. Step 3: Cross multiply
    624,105x = 913,943.25 × 913,943.25
  4. Step 4: Simplify right side
    624,105x = 835,292,264,220.56
  5. Step 5: Solve for x
    x = 835,292,264,220.56/624,105
  6. Step 6: Final answer
    x = 1,338,384.19

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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.