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Finding the Third Proportional to 349,723 and 540,015

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Solution

The third proportional to 349,723 and 540,015 is: 833,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,723 : 540,015 = 540,015 : x
  2. Step 2: Convert to fraction form
    349,723/540,015 = 540,015/x
  3. Step 3: Cross multiply
    349,723x = 540,015 × 540,015
  4. Step 4: Simplify right side
    349,723x = 291,616,200,225
  5. Step 5: Solve for x
    x = 291,616,200,225/349,723
  6. Step 6: Final answer
    x = 833,849.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.