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Finding the Third Proportional to 569,696.75 and 881,838.38

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Solution

The third proportional to 569,696.75 and 881,838.38 is: 1,365,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,696.75 : 881,838.38 = 881,838.38 : x
  2. Step 2: Convert to fraction form
    569,696.75/881,838.38 = 881,838.38/x
  3. Step 3: Cross multiply
    569,696.75x = 881,838.38 × 881,838.38
  4. Step 4: Simplify right side
    569,696.75x = 777,638,919,622.64
  5. Step 5: Solve for x
    x = 777,638,919,622.64/569,696.75
  6. Step 6: Final answer
    x = 1,365,005.01

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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.