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Finding the Third Proportional to 406,836 and 591,786

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Solution

The third proportional to 406,836 and 591,786 is: 860,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,836 : 591,786 = 591,786 : x
  2. Step 2: Convert to fraction form
    406,836/591,786 = 591,786/x
  3. Step 3: Cross multiply
    406,836x = 591,786 × 591,786
  4. Step 4: Simplify right side
    406,836x = 350,210,669,796
  5. Step 5: Solve for x
    x = 350,210,669,796/406,836
  6. Step 6: Final answer
    x = 860,815.34

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.