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Finding the Third Proportional to 421,017.75 and 618,585.75

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Solution

The third proportional to 421,017.75 and 618,585.75 is: 908,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,017.75 : 618,585.75 = 618,585.75 : x
  2. Step 2: Convert to fraction form
    421,017.75/618,585.75 = 618,585.75/x
  3. Step 3: Cross multiply
    421,017.75x = 618,585.75 × 618,585.75
  4. Step 4: Simplify right side
    421,017.75x = 382,648,330,103.06
  5. Step 5: Solve for x
    x = 382,648,330,103.06/421,017.75
  6. Step 6: Final answer
    x = 908,865.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.