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Finding the Third Proportional to 464,518.13 and 678,850.03

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Solution

The third proportional to 464,518.13 and 678,850.03 is: 992,076.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,518.13 : 678,850.03 = 678,850.03 : x
  2. Step 2: Convert to fraction form
    464,518.13/678,850.03 = 678,850.03/x
  3. Step 3: Cross multiply
    464,518.13x = 678,850.03 × 678,850.03
  4. Step 4: Simplify right side
    464,518.13x = 460,837,364,928.13
  5. Step 5: Solve for x
    x = 460,837,364,928.13/464,518.13
  6. Step 6: Final answer
    x = 992,076.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.