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Finding the Third Proportional to 462,699 and 699,881.63

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Solution

The third proportional to 462,699 and 699,881.63 is: 1,058,645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,699 : 699,881.63 = 699,881.63 : x
  2. Step 2: Convert to fraction form
    462,699/699,881.63 = 699,881.63/x
  3. Step 3: Cross multiply
    462,699x = 699,881.63 × 699,881.63
  4. Step 4: Simplify right side
    462,699x = 489,834,289,012.64
  5. Step 5: Solve for x
    x = 489,834,289,012.64/462,699
  6. Step 6: Final answer
    x = 1,058,645.66

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