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Finding the Third Proportional to 569,905.88 and 902,429.44

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Solution

The third proportional to 569,905.88 and 902,429.44 is: 1,428,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,905.88 : 902,429.44 = 902,429.44 : x
  2. Step 2: Convert to fraction form
    569,905.88/902,429.44 = 902,429.44/x
  3. Step 3: Cross multiply
    569,905.88x = 902,429.44 × 902,429.44
  4. Step 4: Simplify right side
    569,905.88x = 814,378,889,666.57
  5. Step 5: Solve for x
    x = 814,378,889,666.57/569,905.88
  6. Step 6: Final answer
    x = 1,428,970.86

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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.