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Finding the Third Proportional to 347,328 and 534,829.50

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Solution

The third proportional to 347,328 and 534,829.50 is: 823,551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,328 : 534,829.50 = 534,829.50 : x
  2. Step 2: Convert to fraction form
    347,328/534,829.50 = 534,829.50/x
  3. Step 3: Cross multiply
    347,328x = 534,829.50 × 534,829.50
  4. Step 4: Simplify right side
    347,328x = 286,042,594,070.25
  5. Step 5: Solve for x
    x = 286,042,594,070.25/347,328
  6. Step 6: Final answer
    x = 823,551.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.