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Finding the Third Proportional to 301,262,184.56 and 465,324,278.34

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Solution

The third proportional to 301,262,184.56 and 465,324,278.34 is: 718,731,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,262,184.56 : 465,324,278.34 = 465,324,278.34 : x
  2. Step 2: Convert to fraction form
    301,262,184.56/465,324,278.34 = 465,324,278.34/x
  3. Step 3: Cross multiply
    301,262,184.56x = 465,324,278.34 × 465,324,278.34
  4. Step 4: Simplify right side
    301,262,184.56x = 216,526,684,016,131,712
  5. Step 5: Solve for x
    x = 216,526,684,016,131,712/301,262,184.56
  6. Step 6: Final answer
    x = 718,731,706.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.