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Finding the Third Proportional to 569,843.06 and 902,332.13

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Solution

The third proportional to 569,843.06 and 902,332.13 is: 1,428,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,843.06 : 902,332.13 = 902,332.13 : x
  2. Step 2: Convert to fraction form
    569,843.06/902,332.13 = 902,332.13/x
  3. Step 3: Cross multiply
    569,843.06x = 902,332.13 × 902,332.13
  4. Step 4: Simplify right side
    569,843.06x = 814,203,263,807.02
  5. Step 5: Solve for x
    x = 814,203,263,807.02/569,843.06
  6. Step 6: Final answer
    x = 1,428,820.17

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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.