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Finding the Third Proportional to 285,516 and 634,864

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Solution

The third proportional to 285,516 and 634,864 is: 1,411,662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,516 : 634,864 = 634,864 : x
  2. Step 2: Convert to fraction form
    285,516/634,864 = 634,864/x
  3. Step 3: Cross multiply
    285,516x = 634,864 × 634,864
  4. Step 4: Simplify right side
    285,516x = 403,052,298,496
  5. Step 5: Solve for x
    x = 403,052,298,496/285,516
  6. Step 6: Final answer
    x = 1,411,662.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.