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Finding the Third Proportional to 207,434.25 and 458,547.75

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Solution

The third proportional to 207,434.25 and 458,547.75 is: 1,013,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,434.25 : 458,547.75 = 458,547.75 : x
  2. Step 2: Convert to fraction form
    207,434.25/458,547.75 = 458,547.75/x
  3. Step 3: Cross multiply
    207,434.25x = 458,547.75 × 458,547.75
  4. Step 4: Simplify right side
    207,434.25x = 210,266,039,030.06
  5. Step 5: Solve for x
    x = 210,266,039,030.06/207,434.25
  6. Step 6: Final answer
    x = 1,013,651.50

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.