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Finding the Third Proportional to 472,626 and 705,847.50

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Solution

The third proportional to 472,626 and 705,847.50 is: 1,054,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,626 : 705,847.50 = 705,847.50 : x
  2. Step 2: Convert to fraction form
    472,626/705,847.50 = 705,847.50/x
  3. Step 3: Cross multiply
    472,626x = 705,847.50 × 705,847.50
  4. Step 4: Simplify right side
    472,626x = 498,220,693,256.25
  5. Step 5: Solve for x
    x = 498,220,693,256.25/472,626
  6. Step 6: Final answer
    x = 1,054,154.22

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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.