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Finding the Third Proportional to 459,719 and 713,635

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Solution

The third proportional to 459,719 and 713,635 is: 1,107,796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,719 : 713,635 = 713,635 : x
  2. Step 2: Convert to fraction form
    459,719/713,635 = 713,635/x
  3. Step 3: Cross multiply
    459,719x = 713,635 × 713,635
  4. Step 4: Simplify right side
    459,719x = 509,274,913,225
  5. Step 5: Solve for x
    x = 509,274,913,225/459,719
  6. Step 6: Final answer
    x = 1,107,796.10

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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.