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Finding the Third Proportional to 317,082.75 and 490,762.50

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Solution

The third proportional to 317,082.75 and 490,762.50 is: 759,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,082.75 : 490,762.50 = 490,762.50 : x
  2. Step 2: Convert to fraction form
    317,082.75/490,762.50 = 490,762.50/x
  3. Step 3: Cross multiply
    317,082.75x = 490,762.50 × 490,762.50
  4. Step 4: Simplify right side
    317,082.75x = 240,847,831,406.25
  5. Step 5: Solve for x
    x = 240,847,831,406.25/317,082.75
  6. Step 6: Final answer
    x = 759,574.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.