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Finding the Third Proportional to 329,398 and 719,032

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Solution

The third proportional to 329,398 and 719,032 is: 1,569,551.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,398 : 719,032 = 719,032 : x
  2. Step 2: Convert to fraction form
    329,398/719,032 = 719,032/x
  3. Step 3: Cross multiply
    329,398x = 719,032 × 719,032
  4. Step 4: Simplify right side
    329,398x = 517,007,017,024
  5. Step 5: Solve for x
    x = 517,007,017,024/329,398
  6. Step 6: Final answer
    x = 1,569,551.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.