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Finding the Third Proportional to 472,629 and 705,852

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Solution

The third proportional to 472,629 and 705,852 is: 1,054,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,629 : 705,852 = 705,852 : x
  2. Step 2: Convert to fraction form
    472,629/705,852 = 705,852/x
  3. Step 3: Cross multiply
    472,629x = 705,852 × 705,852
  4. Step 4: Simplify right side
    472,629x = 498,227,045,904
  5. Step 5: Solve for x
    x = 498,227,045,904/472,629
  6. Step 6: Final answer
    x = 1,054,160.97

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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.