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Finding the Third Proportional to 316,981.50 and 464,092.50

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Solution

The third proportional to 316,981.50 and 464,092.50 is: 679,477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,981.50 : 464,092.50 = 464,092.50 : x
  2. Step 2: Convert to fraction form
    316,981.50/464,092.50 = 464,092.50/x
  3. Step 3: Cross multiply
    316,981.50x = 464,092.50 × 464,092.50
  4. Step 4: Simplify right side
    316,981.50x = 215,381,848,556.25
  5. Step 5: Solve for x
    x = 215,381,848,556.25/316,981.50
  6. Step 6: Final answer
    x = 679,477.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.