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Finding the Third Proportional to 337,996 and 719,028

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Solution

The third proportional to 337,996 and 719,028 is: 1,529,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,996 : 719,028 = 719,028 : x
  2. Step 2: Convert to fraction form
    337,996/719,028 = 719,028/x
  3. Step 3: Cross multiply
    337,996x = 719,028 × 719,028
  4. Step 4: Simplify right side
    337,996x = 517,001,264,784
  5. Step 5: Solve for x
    x = 517,001,264,784/337,996
  6. Step 6: Final answer
    x = 1,529,607.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.