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Finding the Third Proportional to 454,460 and 702,966

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Solution

The third proportional to 454,460 and 702,966 is: 1,087,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,460 : 702,966 = 702,966 : x
  2. Step 2: Convert to fraction form
    454,460/702,966 = 702,966/x
  3. Step 3: Cross multiply
    454,460x = 702,966 × 702,966
  4. Step 4: Simplify right side
    454,460x = 494,161,197,156
  5. Step 5: Solve for x
    x = 494,161,197,156/454,460
  6. Step 6: Final answer
    x = 1,087,359.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.