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Finding the Third Proportional to 286,314 and 646,863

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Solution

The third proportional to 286,314 and 646,863 is: 1,461,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,314 : 646,863 = 646,863 : x
  2. Step 2: Convert to fraction form
    286,314/646,863 = 646,863/x
  3. Step 3: Cross multiply
    286,314x = 646,863 × 646,863
  4. Step 4: Simplify right side
    286,314x = 418,431,740,769
  5. Step 5: Solve for x
    x = 418,431,740,769/286,314
  6. Step 6: Final answer
    x = 1,461,443.52

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.