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Finding the Third Proportional to 462,852 and 700,083

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Solution

The third proportional to 462,852 and 700,083 is: 1,058,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,852 : 700,083 = 700,083 : x
  2. Step 2: Convert to fraction form
    462,852/700,083 = 700,083/x
  3. Step 3: Cross multiply
    462,852x = 700,083 × 700,083
  4. Step 4: Simplify right side
    462,852x = 490,116,206,889
  5. Step 5: Solve for x
    x = 490,116,206,889/462,852
  6. Step 6: Final answer
    x = 1,058,904.81

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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.