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Finding the Third Proportional to 349,930.13 and 540,364.50

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Solution

The third proportional to 349,930.13 and 540,364.50 is: 834,434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,930.13 : 540,364.50 = 540,364.50 : x
  2. Step 2: Convert to fraction form
    349,930.13/540,364.50 = 540,364.50/x
  3. Step 3: Cross multiply
    349,930.13x = 540,364.50 × 540,364.50
  4. Step 4: Simplify right side
    349,930.13x = 291,993,792,860.25
  5. Step 5: Solve for x
    x = 291,993,792,860.25/349,930.13
  6. Step 6: Final answer
    x = 834,434.57

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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.