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Finding the Third Proportional to 314,674.50 and 483,957.75

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Solution

The third proportional to 314,674.50 and 483,957.75 is: 744,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,674.50 : 483,957.75 = 483,957.75 : x
  2. Step 2: Convert to fraction form
    314,674.50/483,957.75 = 483,957.75/x
  3. Step 3: Cross multiply
    314,674.50x = 483,957.75 × 483,957.75
  4. Step 4: Simplify right side
    314,674.50x = 234,215,103,785.06
  5. Step 5: Solve for x
    x = 234,215,103,785.06/314,674.50
  6. Step 6: Final answer
    x = 744,309.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.