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Finding the Third Proportional to 569,841.75 and 902,329.88

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Solution

The third proportional to 569,841.75 and 902,329.88 is: 1,428,816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,841.75 : 902,329.88 = 902,329.88 : x
  2. Step 2: Convert to fraction form
    569,841.75/902,329.88 = 902,329.88/x
  3. Step 3: Cross multiply
    569,841.75x = 902,329.88 × 902,329.88
  4. Step 4: Simplify right side
    569,841.75x = 814,199,203,317.52
  5. Step 5: Solve for x
    x = 814,199,203,317.52/569,841.75
  6. Step 6: Final answer
    x = 1,428,816.34

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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.