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Finding the Third Proportional to 462,599.44 and 725,846.06

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Solution

The third proportional to 462,599.44 and 725,846.06 is: 1,138,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,599.44 : 725,846.06 = 725,846.06 : x
  2. Step 2: Convert to fraction form
    462,599.44/725,846.06 = 725,846.06/x
  3. Step 3: Cross multiply
    462,599.44x = 725,846.06 × 725,846.06
  4. Step 4: Simplify right side
    462,599.44x = 526,852,506,446.75
  5. Step 5: Solve for x
    x = 526,852,506,446.75/462,599.44
  6. Step 6: Final answer
    x = 1,138,895.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.