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Finding the Third Proportional to 316,981.50 and 464,093

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Solution

The third proportional to 316,981.50 and 464,093 is: 679,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,981.50 : 464,093 = 464,093 : x
  2. Step 2: Convert to fraction form
    316,981.50/464,093 = 464,093/x
  3. Step 3: Cross multiply
    316,981.50x = 464,093 × 464,093
  4. Step 4: Simplify right side
    316,981.50x = 215,382,312,649
  5. Step 5: Solve for x
    x = 215,382,312,649/316,981.50
  6. Step 6: Final answer
    x = 679,479.13

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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.