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Finding the Third Proportional to 573,448 and 802,048

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Solution

The third proportional to 573,448 and 802,048 is: 1,121,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,448 : 802,048 = 802,048 : x
  2. Step 2: Convert to fraction form
    573,448/802,048 = 802,048/x
  3. Step 3: Cross multiply
    573,448x = 802,048 × 802,048
  4. Step 4: Simplify right side
    573,448x = 643,280,994,304
  5. Step 5: Solve for x
    x = 643,280,994,304/573,448
  6. Step 6: Final answer
    x = 1,121,777.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.