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Finding the Third Proportional to 472,617 and 705,835.50

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Solution

The third proportional to 472,617 and 705,835.50 is: 1,054,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,617 : 705,835.50 = 705,835.50 : x
  2. Step 2: Convert to fraction form
    472,617/705,835.50 = 705,835.50/x
  3. Step 3: Cross multiply
    472,617x = 705,835.50 × 705,835.50
  4. Step 4: Simplify right side
    472,617x = 498,203,753,060.25
  5. Step 5: Solve for x
    x = 498,203,753,060.25/472,617
  6. Step 6: Final answer
    x = 1,054,138.45

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Why These Related Problems?

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