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Finding the Third Proportional to 349,733 and 540,029

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Solution

The third proportional to 349,733 and 540,029 is: 833,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,733 : 540,029 = 540,029 : x
  2. Step 2: Convert to fraction form
    349,733/540,029 = 540,029/x
  3. Step 3: Cross multiply
    349,733x = 540,029 × 540,029
  4. Step 4: Simplify right side
    349,733x = 291,631,320,841
  5. Step 5: Solve for x
    x = 291,631,320,841/349,733
  6. Step 6: Final answer
    x = 833,868.47

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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.