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Finding the Third Proportional to 326,449 and 719,102

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Solution

The third proportional to 326,449 and 719,102 is: 1,584,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,449 : 719,102 = 719,102 : x
  2. Step 2: Convert to fraction form
    326,449/719,102 = 719,102/x
  3. Step 3: Cross multiply
    326,449x = 719,102 × 719,102
  4. Step 4: Simplify right side
    326,449x = 517,107,686,404
  5. Step 5: Solve for x
    x = 517,107,686,404/326,449
  6. Step 6: Final answer
    x = 1,584,038.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.