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Finding the Third Proportional to 458,776 and 633,946

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Solution

The third proportional to 458,776 and 633,946 is: 875,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,776 : 633,946 = 633,946 : x
  2. Step 2: Convert to fraction form
    458,776/633,946 = 633,946/x
  3. Step 3: Cross multiply
    458,776x = 633,946 × 633,946
  4. Step 4: Simplify right side
    458,776x = 401,887,530,916
  5. Step 5: Solve for x
    x = 401,887,530,916/458,776
  6. Step 6: Final answer
    x = 875,999.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.