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Finding the Third Proportional to 534,009 and 713,340

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Solution

The third proportional to 534,009 and 713,340 is: 952,893.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,009 : 713,340 = 713,340 : x
  2. Step 2: Convert to fraction form
    534,009/713,340 = 713,340/x
  3. Step 3: Cross multiply
    534,009x = 713,340 × 713,340
  4. Step 4: Simplify right side
    534,009x = 508,853,955,600
  5. Step 5: Solve for x
    x = 508,853,955,600/534,009
  6. Step 6: Final answer
    x = 952,893.97

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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.