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Finding the Third Proportional to 329,492.50 and 719,410.75

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Solution

The third proportional to 329,492.50 and 719,410.75 is: 1,570,754.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,492.50 : 719,410.75 = 719,410.75 : x
  2. Step 2: Convert to fraction form
    329,492.50/719,410.75 = 719,410.75/x
  3. Step 3: Cross multiply
    329,492.50x = 719,410.75 × 719,410.75
  4. Step 4: Simplify right side
    329,492.50x = 517,551,827,215.56
  5. Step 5: Solve for x
    x = 517,551,827,215.56/329,492.50
  6. Step 6: Final answer
    x = 1,570,754.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.