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Finding the Third Proportional to 600,384 and 912,954

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Solution

The third proportional to 600,384 and 912,954 is: 1,388,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,384 : 912,954 = 912,954 : x
  2. Step 2: Convert to fraction form
    600,384/912,954 = 912,954/x
  3. Step 3: Cross multiply
    600,384x = 912,954 × 912,954
  4. Step 4: Simplify right side
    600,384x = 833,485,006,116
  5. Step 5: Solve for x
    x = 833,485,006,116/600,384
  6. Step 6: Final answer
    x = 1,388,253.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.