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Finding the Third Proportional to 506,531 and 802,079

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Solution

The third proportional to 506,531 and 802,079 is: 1,270,071.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,531 : 802,079 = 802,079 : x
  2. Step 2: Convert to fraction form
    506,531/802,079 = 802,079/x
  3. Step 3: Cross multiply
    506,531x = 802,079 × 802,079
  4. Step 4: Simplify right side
    506,531x = 643,330,722,241
  5. Step 5: Solve for x
    x = 643,330,722,241/506,531
  6. Step 6: Final answer
    x = 1,270,071.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.