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Finding the Third Proportional to 342,333.50 and 695,035

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Solution

The third proportional to 342,333.50 and 695,035 is: 1,411,120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,333.50 : 695,035 = 695,035 : x
  2. Step 2: Convert to fraction form
    342,333.50/695,035 = 695,035/x
  3. Step 3: Cross multiply
    342,333.50x = 695,035 × 695,035
  4. Step 4: Simplify right side
    342,333.50x = 483,073,651,225
  5. Step 5: Solve for x
    x = 483,073,651,225/342,333.50
  6. Step 6: Final answer
    x = 1,411,120.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.