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Finding the Third Proportional to 419,117.50 and 857,603

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Solution

The third proportional to 419,117.50 and 857,603 is: 1,754,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,117.50 : 857,603 = 857,603 : x
  2. Step 2: Convert to fraction form
    419,117.50/857,603 = 857,603/x
  3. Step 3: Cross multiply
    419,117.50x = 857,603 × 857,603
  4. Step 4: Simplify right side
    419,117.50x = 735,482,905,609
  5. Step 5: Solve for x
    x = 735,482,905,609/419,117.50
  6. Step 6: Final answer
    x = 1,754,837.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.