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Finding the Third Proportional to 459,724 and 713,644

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Solution

The third proportional to 459,724 and 713,644 is: 1,107,811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,724 : 713,644 = 713,644 : x
  2. Step 2: Convert to fraction form
    459,724/713,644 = 713,644/x
  3. Step 3: Cross multiply
    459,724x = 713,644 × 713,644
  4. Step 4: Simplify right side
    459,724x = 509,287,758,736
  5. Step 5: Solve for x
    x = 509,287,758,736/459,724
  6. Step 6: Final answer
    x = 1,107,811.99

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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.