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Finding the Third Proportional to 365,229 and 740,502

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Solution

The third proportional to 365,229 and 740,502 is: 1,501,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,229 : 740,502 = 740,502 : x
  2. Step 2: Convert to fraction form
    365,229/740,502 = 740,502/x
  3. Step 3: Cross multiply
    365,229x = 740,502 × 740,502
  4. Step 4: Simplify right side
    365,229x = 548,343,212,004
  5. Step 5: Solve for x
    x = 548,343,212,004/365,229
  6. Step 6: Final answer
    x = 1,501,368.22

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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.