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Finding the Third Proportional to 522,578.81 and 774,154.13

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Solution

The third proportional to 522,578.81 and 774,154.13 is: 1,146,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,578.81 : 774,154.13 = 774,154.13 : x
  2. Step 2: Convert to fraction form
    522,578.81/774,154.13 = 774,154.13/x
  3. Step 3: Cross multiply
    522,578.81x = 774,154.13 × 774,154.13
  4. Step 4: Simplify right side
    522,578.81x = 599,314,609,254.52
  5. Step 5: Solve for x
    x = 599,314,609,254.52/522,578.81
  6. Step 6: Final answer
    x = 1,146,840.62

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.