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Finding the Third Proportional to 476,737 and 706,858

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Solution

The third proportional to 476,737 and 706,858 is: 1,048,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,737 : 706,858 = 706,858 : x
  2. Step 2: Convert to fraction form
    476,737/706,858 = 706,858/x
  3. Step 3: Cross multiply
    476,737x = 706,858 × 706,858
  4. Step 4: Simplify right side
    476,737x = 499,648,232,164
  5. Step 5: Solve for x
    x = 499,648,232,164/476,737
  6. Step 6: Final answer
    x = 1,048,058.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.