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Finding the Third Proportional to 406,746 and 618,412

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Solution

The third proportional to 406,746 and 618,412 is: 940,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,746 : 618,412 = 618,412 : x
  2. Step 2: Convert to fraction form
    406,746/618,412 = 618,412/x
  3. Step 3: Cross multiply
    406,746x = 618,412 × 618,412
  4. Step 4: Simplify right side
    406,746x = 382,433,401,744
  5. Step 5: Solve for x
    x = 382,433,401,744/406,746
  6. Step 6: Final answer
    x = 940,226.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.