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Finding the Third Proportional to 472,623 and 705,844.50

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Solution

The third proportional to 472,623 and 705,844.50 is: 1,054,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,623 : 705,844.50 = 705,844.50 : x
  2. Step 2: Convert to fraction form
    472,623/705,844.50 = 705,844.50/x
  3. Step 3: Cross multiply
    472,623x = 705,844.50 × 705,844.50
  4. Step 4: Simplify right side
    472,623x = 498,216,458,180.25
  5. Step 5: Solve for x
    x = 498,216,458,180.25/472,623
  6. Step 6: Final answer
    x = 1,054,151.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.