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Finding the Third Proportional to 459,046 and 701,781

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Solution

The third proportional to 459,046 and 701,781 is: 1,072,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,046 : 701,781 = 701,781 : x
  2. Step 2: Convert to fraction form
    459,046/701,781 = 701,781/x
  3. Step 3: Cross multiply
    459,046x = 701,781 × 701,781
  4. Step 4: Simplify right side
    459,046x = 492,496,571,961
  5. Step 5: Solve for x
    x = 492,496,571,961/459,046
  6. Step 6: Final answer
    x = 1,072,869.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.