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Finding the Third Proportional to 403,663.50 and 951,547.50

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Solution

The third proportional to 403,663.50 and 951,547.50 is: 2,243,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,663.50 : 951,547.50 = 951,547.50 : x
  2. Step 2: Convert to fraction form
    403,663.50/951,547.50 = 951,547.50/x
  3. Step 3: Cross multiply
    403,663.50x = 951,547.50 × 951,547.50
  4. Step 4: Simplify right side
    403,663.50x = 905,442,644,756.25
  5. Step 5: Solve for x
    x = 905,442,644,756.25/403,663.50
  6. Step 6: Final answer
    x = 2,243,062.96

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.