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Finding the Third Proportional to 305,634.75 and 472,303.50

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Solution

The third proportional to 305,634.75 and 472,303.50 is: 729,860.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,634.75 : 472,303.50 = 472,303.50 : x
  2. Step 2: Convert to fraction form
    305,634.75/472,303.50 = 472,303.50/x
  3. Step 3: Cross multiply
    305,634.75x = 472,303.50 × 472,303.50
  4. Step 4: Simplify right side
    305,634.75x = 223,070,596,112.25
  5. Step 5: Solve for x
    x = 223,070,596,112.25/305,634.75
  6. Step 6: Final answer
    x = 729,860.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.