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Finding the Third Proportional to 605,924.25 and 921,476.81

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Solution

The third proportional to 605,924.25 and 921,476.81 is: 1,401,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,924.25 : 921,476.81 = 921,476.81 : x
  2. Step 2: Convert to fraction form
    605,924.25/921,476.81 = 921,476.81/x
  3. Step 3: Cross multiply
    605,924.25x = 921,476.81 × 921,476.81
  4. Step 4: Simplify right side
    605,924.25x = 849,119,515,975.16
  5. Step 5: Solve for x
    x = 849,119,515,975.16/605,924.25
  6. Step 6: Final answer
    x = 1,401,362.49

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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.