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Finding the Third Proportional to 333,579 and 491,545.50

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Solution

The third proportional to 333,579 and 491,545.50 is: 724,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,579 : 491,545.50 = 491,545.50 : x
  2. Step 2: Convert to fraction form
    333,579/491,545.50 = 491,545.50/x
  3. Step 3: Cross multiply
    333,579x = 491,545.50 × 491,545.50
  4. Step 4: Simplify right side
    333,579x = 241,616,978,570.25
  5. Step 5: Solve for x
    x = 241,616,978,570.25/333,579
  6. Step 6: Final answer
    x = 724,317.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.