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Finding the Third Proportional to 291,764 and 675,851

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Solution

The third proportional to 291,764 and 675,851 is: 1,565,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,764 : 675,851 = 675,851 : x
  2. Step 2: Convert to fraction form
    291,764/675,851 = 675,851/x
  3. Step 3: Cross multiply
    291,764x = 675,851 × 675,851
  4. Step 4: Simplify right side
    291,764x = 456,774,574,201
  5. Step 5: Solve for x
    x = 456,774,574,201/291,764
  6. Step 6: Final answer
    x = 1,565,561.80

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.