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Finding the Third Proportional to 319,583 and 693,490

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Solution

The third proportional to 319,583 and 693,490 is: 1,504,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,583 : 693,490 = 693,490 : x
  2. Step 2: Convert to fraction form
    319,583/693,490 = 693,490/x
  3. Step 3: Cross multiply
    319,583x = 693,490 × 693,490
  4. Step 4: Simplify right side
    319,583x = 480,928,380,100
  5. Step 5: Solve for x
    x = 480,928,380,100/319,583
  6. Step 6: Final answer
    x = 1,504,862.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.