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Finding the Third Proportional to 469,764 and 706,918

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Solution

The third proportional to 469,764 and 706,918 is: 1,063,795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,764 : 706,918 = 706,918 : x
  2. Step 2: Convert to fraction form
    469,764/706,918 = 706,918/x
  3. Step 3: Cross multiply
    469,764x = 706,918 × 706,918
  4. Step 4: Simplify right side
    469,764x = 499,733,058,724
  5. Step 5: Solve for x
    x = 499,733,058,724/469,764
  6. Step 6: Final answer
    x = 1,063,795.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.