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Finding the Third Proportional to 464,522 and 678,857

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Solution

The third proportional to 464,522 and 678,857 is: 992,088.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,522 : 678,857 = 678,857 : x
  2. Step 2: Convert to fraction form
    464,522/678,857 = 678,857/x
  3. Step 3: Cross multiply
    464,522x = 678,857 × 678,857
  4. Step 4: Simplify right side
    464,522x = 460,846,826,449
  5. Step 5: Solve for x
    x = 460,846,826,449/464,522
  6. Step 6: Final answer
    x = 992,088.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.