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Finding the Third Proportional to 301,262,193.84 and 465,324,291.84

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Solution

The third proportional to 301,262,193.84 and 465,324,291.84 is: 718,731,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,262,193.84 : 465,324,291.84 = 465,324,291.84 : x
  2. Step 2: Convert to fraction form
    301,262,193.84/465,324,291.84 = 465,324,291.84/x
  3. Step 3: Cross multiply
    301,262,193.84x = 465,324,291.84 × 465,324,291.84
  4. Step 4: Simplify right side
    301,262,193.84x = 216,526,696,579,887,424
  5. Step 5: Solve for x
    x = 216,526,696,579,887,424/301,262,193.84
  6. Step 6: Final answer
    x = 718,731,726.07

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