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Finding the Third Proportional to 329,406 and 719,048

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Solution

The third proportional to 329,406 and 719,048 is: 1,569,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,406 : 719,048 = 719,048 : x
  2. Step 2: Convert to fraction form
    329,406/719,048 = 719,048/x
  3. Step 3: Cross multiply
    329,406x = 719,048 × 719,048
  4. Step 4: Simplify right side
    329,406x = 517,030,026,304
  5. Step 5: Solve for x
    x = 517,030,026,304/329,406
  6. Step 6: Final answer
    x = 1,569,582.90

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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.