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Finding the Third Proportional to 335,064 and 730,372.50

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Solution

The third proportional to 335,064 and 730,372.50 is: 1,592,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,064 : 730,372.50 = 730,372.50 : x
  2. Step 2: Convert to fraction form
    335,064/730,372.50 = 730,372.50/x
  3. Step 3: Cross multiply
    335,064x = 730,372.50 × 730,372.50
  4. Step 4: Simplify right side
    335,064x = 533,443,988,756.25
  5. Step 5: Solve for x
    x = 533,443,988,756.25/335,064
  6. Step 6: Final answer
    x = 1,592,065.96

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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.