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Finding the Third Proportional to 322,719.19 and 702,437.06

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Solution

The third proportional to 322,719.19 and 702,437.06 is: 1,528,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,719.19 : 702,437.06 = 702,437.06 : x
  2. Step 2: Convert to fraction form
    322,719.19/702,437.06 = 702,437.06/x
  3. Step 3: Cross multiply
    322,719.19x = 702,437.06 × 702,437.06
  4. Step 4: Simplify right side
    322,719.19x = 493,417,826,773.63
  5. Step 5: Solve for x
    x = 493,417,826,773.63/322,719.19
  6. Step 6: Final answer
    x = 1,528,938.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.