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Finding the Third Proportional to 462,848 and 700,077

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Solution

The third proportional to 462,848 and 700,077 is: 1,058,895.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,848 : 700,077 = 700,077 : x
  2. Step 2: Convert to fraction form
    462,848/700,077 = 700,077/x
  3. Step 3: Cross multiply
    462,848x = 700,077 × 700,077
  4. Step 4: Simplify right side
    462,848x = 490,107,805,929
  5. Step 5: Solve for x
    x = 490,107,805,929/462,848
  6. Step 6: Final answer
    x = 1,058,895.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.