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Finding the Third Proportional to 592,196.63 and 844,007.63

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Solution

The third proportional to 592,196.63 and 844,007.63 is: 1,202,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,196.63 : 844,007.63 = 844,007.63 : x
  2. Step 2: Convert to fraction form
    592,196.63/844,007.63 = 844,007.63/x
  3. Step 3: Cross multiply
    592,196.63x = 844,007.63 × 844,007.63
  4. Step 4: Simplify right side
    592,196.63x = 712,348,871,058.14
  5. Step 5: Solve for x
    x = 712,348,871,058.14/592,196.63
  6. Step 6: Final answer
    x = 1,202,892.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.