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Finding the Third Proportional to 458,718.75 and 976,484.25

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Solution

The third proportional to 458,718.75 and 976,484.25 is: 2,078,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,718.75 : 976,484.25 = 976,484.25 : x
  2. Step 2: Convert to fraction form
    458,718.75/976,484.25 = 976,484.25/x
  3. Step 3: Cross multiply
    458,718.75x = 976,484.25 × 976,484.25
  4. Step 4: Simplify right side
    458,718.75x = 953,521,490,498.06
  5. Step 5: Solve for x
    x = 953,521,490,498.06/458,718.75
  6. Step 6: Final answer
    x = 2,078,662.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.