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Finding the Third Proportional to 333,492 and 719,472

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Solution

The third proportional to 333,492 and 719,472 is: 1,552,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,492 : 719,472 = 719,472 : x
  2. Step 2: Convert to fraction form
    333,492/719,472 = 719,472/x
  3. Step 3: Cross multiply
    333,492x = 719,472 × 719,472
  4. Step 4: Simplify right side
    333,492x = 517,639,958,784
  5. Step 5: Solve for x
    x = 517,639,958,784/333,492
  6. Step 6: Final answer
    x = 1,552,181.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.