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Finding the Third Proportional to 461,396.25 and 988,402.50

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Solution

The third proportional to 461,396.25 and 988,402.50 is: 2,117,354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,396.25 : 988,402.50 = 988,402.50 : x
  2. Step 2: Convert to fraction form
    461,396.25/988,402.50 = 988,402.50/x
  3. Step 3: Cross multiply
    461,396.25x = 988,402.50 × 988,402.50
  4. Step 4: Simplify right side
    461,396.25x = 976,939,502,006.25
  5. Step 5: Solve for x
    x = 976,939,502,006.25/461,396.25
  6. Step 6: Final answer
    x = 2,117,354.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.