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Finding the Third Proportional to 573,442 and 802,039

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Solution

The third proportional to 573,442 and 802,039 is: 1,121,763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,442 : 802,039 = 802,039 : x
  2. Step 2: Convert to fraction form
    573,442/802,039 = 802,039/x
  3. Step 3: Cross multiply
    573,442x = 802,039 × 802,039
  4. Step 4: Simplify right side
    573,442x = 643,266,557,521
  5. Step 5: Solve for x
    x = 643,266,557,521/573,442
  6. Step 6: Final answer
    x = 1,121,763.94

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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.