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Finding the Third Proportional to 464,681.25 and 985,101.75

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Solution

The third proportional to 464,681.25 and 985,101.75 is: 2,088,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,681.25 : 985,101.75 = 985,101.75 : x
  2. Step 2: Convert to fraction form
    464,681.25/985,101.75 = 985,101.75/x
  3. Step 3: Cross multiply
    464,681.25x = 985,101.75 × 985,101.75
  4. Step 4: Simplify right side
    464,681.25x = 970,425,457,853.06
  5. Step 5: Solve for x
    x = 970,425,457,853.06/464,681.25
  6. Step 6: Final answer
    x = 2,088,368.01

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.