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Finding the Third Proportional to 766,303.50 and 1,642,707

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Solution

The third proportional to 766,303.50 and 1,642,707 is: 3,521,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,303.50 : 1,642,707 = 1,642,707 : x
  2. Step 2: Convert to fraction form
    766,303.50/1,642,707 = 1,642,707/x
  3. Step 3: Cross multiply
    766,303.50x = 1,642,707 × 1,642,707
  4. Step 4: Simplify right side
    766,303.50x = 2,698,486,287,849
  5. Step 5: Solve for x
    x = 2,698,486,287,849/766,303.50
  6. Step 6: Final answer
    x = 3,521,432.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.