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Finding the Third Proportional to 569,696.25 and 881,837.63

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Solution

The third proportional to 569,696.25 and 881,837.63 is: 1,365,003.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,696.25 : 881,837.63 = 881,837.63 : x
  2. Step 2: Convert to fraction form
    569,696.25/881,837.63 = 881,837.63/x
  3. Step 3: Cross multiply
    569,696.25x = 881,837.63 × 881,837.63
  4. Step 4: Simplify right side
    569,696.25x = 777,637,596,865.64
  5. Step 5: Solve for x
    x = 777,637,596,865.64/569,696.25
  6. Step 6: Final answer
    x = 1,365,003.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.