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Finding the Third Proportional to 365,424 and 740,928

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Solution

The third proportional to 365,424 and 740,928 is: 1,502,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,424 : 740,928 = 740,928 : x
  2. Step 2: Convert to fraction form
    365,424/740,928 = 740,928/x
  3. Step 3: Cross multiply
    365,424x = 740,928 × 740,928
  4. Step 4: Simplify right side
    365,424x = 548,974,301,184
  5. Step 5: Solve for x
    x = 548,974,301,184/365,424
  6. Step 6: Final answer
    x = 1,502,294.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.