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Finding the Third Proportional to 425,768 and 638,714

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Solution

The third proportional to 425,768 and 638,714 is: 958,164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,768 : 638,714 = 638,714 : x
  2. Step 2: Convert to fraction form
    425,768/638,714 = 638,714/x
  3. Step 3: Cross multiply
    425,768x = 638,714 × 638,714
  4. Step 4: Simplify right side
    425,768x = 407,955,573,796
  5. Step 5: Solve for x
    x = 407,955,573,796/425,768
  6. Step 6: Final answer
    x = 958,164.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.