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Finding the Third Proportional to 269,073 and 555,637.50

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Solution

The third proportional to 269,073 and 555,637.50 is: 1,147,395.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,073 : 555,637.50 = 555,637.50 : x
  2. Step 2: Convert to fraction form
    269,073/555,637.50 = 555,637.50/x
  3. Step 3: Cross multiply
    269,073x = 555,637.50 × 555,637.50
  4. Step 4: Simplify right side
    269,073x = 308,733,031,406.25
  5. Step 5: Solve for x
    x = 308,733,031,406.25/269,073
  6. Step 6: Final answer
    x = 1,147,395.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.