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Finding the Third Proportional to 323,247.75 and 487,332

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Solution

The third proportional to 323,247.75 and 487,332 is: 734,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,247.75 : 487,332 = 487,332 : x
  2. Step 2: Convert to fraction form
    323,247.75/487,332 = 487,332/x
  3. Step 3: Cross multiply
    323,247.75x = 487,332 × 487,332
  4. Step 4: Simplify right side
    323,247.75x = 237,492,478,224
  5. Step 5: Solve for x
    x = 237,492,478,224/323,247.75
  6. Step 6: Final answer
    x = 734,707.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.