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Finding the Third Proportional to 349,720.50 and 540,012

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Solution

The third proportional to 349,720.50 and 540,012 is: 833,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,720.50 : 540,012 = 540,012 : x
  2. Step 2: Convert to fraction form
    349,720.50/540,012 = 540,012/x
  3. Step 3: Cross multiply
    349,720.50x = 540,012 × 540,012
  4. Step 4: Simplify right side
    349,720.50x = 291,612,960,144
  5. Step 5: Solve for x
    x = 291,612,960,144/349,720.50
  6. Step 6: Final answer
    x = 833,845.77

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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.