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Finding the Third Proportional to 534,083.63 and 713,440.41

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Solution

The third proportional to 534,083.63 and 713,440.41 is: 953,029.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,083.63 : 713,440.41 = 713,440.41 : x
  2. Step 2: Convert to fraction form
    534,083.63/713,440.41 = 713,440.41/x
  3. Step 3: Cross multiply
    534,083.63x = 713,440.41 × 713,440.41
  4. Step 4: Simplify right side
    534,083.63x = 508,997,213,270.17
  5. Step 5: Solve for x
    x = 508,997,213,270.17/534,083.63
  6. Step 6: Final answer
    x = 953,029.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.