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Finding the Third Proportional to 327,455 and 715,784

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Solution

The third proportional to 327,455 and 715,784 is: 1,564,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,455 : 715,784 = 715,784 : x
  2. Step 2: Convert to fraction form
    327,455/715,784 = 715,784/x
  3. Step 3: Cross multiply
    327,455x = 715,784 × 715,784
  4. Step 4: Simplify right side
    327,455x = 512,346,734,656
  5. Step 5: Solve for x
    x = 512,346,734,656/327,455
  6. Step 6: Final answer
    x = 1,564,632.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.