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Finding the Third Proportional to 333,697.50 and 719,887.50

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Solution

The third proportional to 333,697.50 and 719,887.50 is: 1,553,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,697.50 : 719,887.50 = 719,887.50 : x
  2. Step 2: Convert to fraction form
    333,697.50/719,887.50 = 719,887.50/x
  3. Step 3: Cross multiply
    333,697.50x = 719,887.50 × 719,887.50
  4. Step 4: Simplify right side
    333,697.50x = 518,238,012,656.25
  5. Step 5: Solve for x
    x = 518,238,012,656.25/333,697.50
  6. Step 6: Final answer
    x = 1,553,017.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.