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Finding the Third Proportional to 337,578.75 and 732,362.25

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Solution

The third proportional to 337,578.75 and 732,362.25 is: 1,588,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,578.75 : 732,362.25 = 732,362.25 : x
  2. Step 2: Convert to fraction form
    337,578.75/732,362.25 = 732,362.25/x
  3. Step 3: Cross multiply
    337,578.75x = 732,362.25 × 732,362.25
  4. Step 4: Simplify right side
    337,578.75x = 536,354,465,225.06
  5. Step 5: Solve for x
    x = 536,354,465,225.06/337,578.75
  6. Step 6: Final answer
    x = 1,588,827.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.