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Finding the Third Proportional to 294,249 and 454,683.75

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Solution

The third proportional to 294,249 and 454,683.75 is: 702,593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,249 : 454,683.75 = 454,683.75 : x
  2. Step 2: Convert to fraction form
    294,249/454,683.75 = 454,683.75/x
  3. Step 3: Cross multiply
    294,249x = 454,683.75 × 454,683.75
  4. Step 4: Simplify right side
    294,249x = 206,737,312,514.06
  5. Step 5: Solve for x
    x = 206,737,312,514.06/294,249
  6. Step 6: Final answer
    x = 702,593.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.