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Finding the Third Proportional to 315,088.50 and 484,313.25

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Solution

The third proportional to 315,088.50 and 484,313.25 is: 744,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,088.50 : 484,313.25 = 484,313.25 : x
  2. Step 2: Convert to fraction form
    315,088.50/484,313.25 = 484,313.25/x
  3. Step 3: Cross multiply
    315,088.50x = 484,313.25 × 484,313.25
  4. Step 4: Simplify right side
    315,088.50x = 234,559,324,125.56
  5. Step 5: Solve for x
    x = 234,559,324,125.56/315,088.50
  6. Step 6: Final answer
    x = 744,423.63

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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.