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Finding the Third Proportional to 459,718 and 713,634

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Solution

The third proportional to 459,718 and 713,634 is: 1,107,795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,718 : 713,634 = 713,634 : x
  2. Step 2: Convert to fraction form
    459,718/713,634 = 713,634/x
  3. Step 3: Cross multiply
    459,718x = 713,634 × 713,634
  4. Step 4: Simplify right side
    459,718x = 509,273,485,956
  5. Step 5: Solve for x
    x = 509,273,485,956/459,718
  6. Step 6: Final answer
    x = 1,107,795.40

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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.