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Finding the Third Proportional to 240,404 and 373,712

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Solution

The third proportional to 240,404 and 373,712 is: 580,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,404 : 373,712 = 373,712 : x
  2. Step 2: Convert to fraction form
    240,404/373,712 = 373,712/x
  3. Step 3: Cross multiply
    240,404x = 373,712 × 373,712
  4. Step 4: Simplify right side
    240,404x = 139,660,658,944
  5. Step 5: Solve for x
    x = 139,660,658,944/240,404
  6. Step 6: Final answer
    x = 580,941.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.