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Finding the Third Proportional to 573,444 and 802,042

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Solution

The third proportional to 573,444 and 802,042 is: 1,121,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,444 : 802,042 = 802,042 : x
  2. Step 2: Convert to fraction form
    573,444/802,042 = 802,042/x
  3. Step 3: Cross multiply
    573,444x = 802,042 × 802,042
  4. Step 4: Simplify right side
    573,444x = 643,271,369,764
  5. Step 5: Solve for x
    x = 643,271,369,764/573,444
  6. Step 6: Final answer
    x = 1,121,768.42

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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.