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Finding the Third Proportional to 506,562 and 802,125

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Solution

The third proportional to 506,562 and 802,125 is: 1,270,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,562 : 802,125 = 802,125 : x
  2. Step 2: Convert to fraction form
    506,562/802,125 = 802,125/x
  3. Step 3: Cross multiply
    506,562x = 802,125 × 802,125
  4. Step 4: Simplify right side
    506,562x = 643,404,515,625
  5. Step 5: Solve for x
    x = 643,404,515,625/506,562
  6. Step 6: Final answer
    x = 1,270,139.72

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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.