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Finding the Third Proportional to 349,872.75 and 540,266.63

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Solution

The third proportional to 349,872.75 and 540,266.63 is: 834,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,872.75 : 540,266.63 = 540,266.63 : x
  2. Step 2: Convert to fraction form
    349,872.75/540,266.63 = 540,266.63/x
  3. Step 3: Cross multiply
    349,872.75x = 540,266.63 × 540,266.63
  4. Step 4: Simplify right side
    349,872.75x = 291,888,026,088.89
  5. Step 5: Solve for x
    x = 291,888,026,088.89/349,872.75
  6. Step 6: Final answer
    x = 834,269.11

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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.