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Finding the Third Proportional to 307,044 and 723,778

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Solution

The third proportional to 307,044 and 723,778 is: 1,706,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,044 : 723,778 = 723,778 : x
  2. Step 2: Convert to fraction form
    307,044/723,778 = 723,778/x
  3. Step 3: Cross multiply
    307,044x = 723,778 × 723,778
  4. Step 4: Simplify right side
    307,044x = 523,854,593,284
  5. Step 5: Solve for x
    x = 523,854,593,284/307,044
  6. Step 6: Final answer
    x = 1,706,122.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.