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Finding the Third Proportional to 340,783.31 and 534,632.06

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Solution

The third proportional to 340,783.31 and 534,632.06 is: 838,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,783.31 : 534,632.06 = 534,632.06 : x
  2. Step 2: Convert to fraction form
    340,783.31/534,632.06 = 534,632.06/x
  3. Step 3: Cross multiply
    340,783.31x = 534,632.06 × 534,632.06
  4. Step 4: Simplify right side
    340,783.31x = 285,831,442,253.00
  5. Step 5: Solve for x
    x = 285,831,442,253.00/340,783.31
  6. Step 6: Final answer
    x = 838,748.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.