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Finding the Third Proportional to 382,985 and 606,159

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Solution

The third proportional to 382,985 and 606,159 is: 959,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,985 : 606,159 = 606,159 : x
  2. Step 2: Convert to fraction form
    382,985/606,159 = 606,159/x
  3. Step 3: Cross multiply
    382,985x = 606,159 × 606,159
  4. Step 4: Simplify right side
    382,985x = 367,428,733,281
  5. Step 5: Solve for x
    x = 367,428,733,281/382,985
  6. Step 6: Final answer
    x = 959,381.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.