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Finding the Third Proportional to 353,712.75 and 500,014.13

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Solution

The third proportional to 353,712.75 and 500,014.13 is: 706,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,712.75 : 500,014.13 = 500,014.13 : x
  2. Step 2: Convert to fraction form
    353,712.75/500,014.13 = 500,014.13/x
  3. Step 3: Cross multiply
    353,712.75x = 500,014.13 × 500,014.13
  4. Step 4: Simplify right side
    353,712.75x = 250,014,125,199.52
  5. Step 5: Solve for x
    x = 250,014,125,199.52/353,712.75
  6. Step 6: Final answer
    x = 706,828.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.