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Finding the Third Proportional to 406,362 and 597,759

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Solution

The third proportional to 406,362 and 597,759 is: 879,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,362 : 597,759 = 597,759 : x
  2. Step 2: Convert to fraction form
    406,362/597,759 = 597,759/x
  3. Step 3: Cross multiply
    406,362x = 597,759 × 597,759
  4. Step 4: Simplify right side
    406,362x = 357,315,822,081
  5. Step 5: Solve for x
    x = 357,315,822,081/406,362
  6. Step 6: Final answer
    x = 879,304.22

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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.