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Finding the Third Proportional to 366,984 and 561,417

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Solution

The third proportional to 366,984 and 561,417 is: 858,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,984 : 561,417 = 561,417 : x
  2. Step 2: Convert to fraction form
    366,984/561,417 = 561,417/x
  3. Step 3: Cross multiply
    366,984x = 561,417 × 561,417
  4. Step 4: Simplify right side
    366,984x = 315,189,047,889
  5. Step 5: Solve for x
    x = 315,189,047,889/366,984
  6. Step 6: Final answer
    x = 858,863.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.