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Finding the Third Proportional to 334,095 and 719,887.50

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Solution

The third proportional to 334,095 and 719,887.50 is: 1,551,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,095 : 719,887.50 = 719,887.50 : x
  2. Step 2: Convert to fraction form
    334,095/719,887.50 = 719,887.50/x
  3. Step 3: Cross multiply
    334,095x = 719,887.50 × 719,887.50
  4. Step 4: Simplify right side
    334,095x = 518,238,012,656.25
  5. Step 5: Solve for x
    x = 518,238,012,656.25/334,095
  6. Step 6: Final answer
    x = 1,551,169.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.