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Finding the Third Proportional to 335,340 and 730,903.50

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Solution

The third proportional to 335,340 and 730,903.50 is: 1,593,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,340 : 730,903.50 = 730,903.50 : x
  2. Step 2: Convert to fraction form
    335,340/730,903.50 = 730,903.50/x
  3. Step 3: Cross multiply
    335,340x = 730,903.50 × 730,903.50
  4. Step 4: Simplify right side
    335,340x = 534,219,926,312.25
  5. Step 5: Solve for x
    x = 534,219,926,312.25/335,340
  6. Step 6: Final answer
    x = 1,593,069.50

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