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Finding the Third Proportional to 318,293.25 and 460,307.63

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Solution

The third proportional to 318,293.25 and 460,307.63 is: 665,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,293.25 : 460,307.63 = 460,307.63 : x
  2. Step 2: Convert to fraction form
    318,293.25/460,307.63 = 460,307.63/x
  3. Step 3: Cross multiply
    318,293.25x = 460,307.63 × 460,307.63
  4. Step 4: Simplify right side
    318,293.25x = 211,883,109,633.14
  5. Step 5: Solve for x
    x = 211,883,109,633.14/318,293.25
  6. Step 6: Final answer
    x = 665,685.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.