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Finding the Third Proportional to 319,252.88 and 477,999.93

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Solution

The third proportional to 319,252.88 and 477,999.93 is: 715,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,252.88 : 477,999.93 = 477,999.93 : x
  2. Step 2: Convert to fraction form
    319,252.88/477,999.93 = 477,999.93/x
  3. Step 3: Cross multiply
    319,252.88x = 477,999.93 × 477,999.93
  4. Step 4: Simplify right side
    319,252.88x = 228,483,928,346.72
  5. Step 5: Solve for x
    x = 228,483,928,346.72/319,252.88
  6. Step 6: Final answer
    x = 715,683.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.