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Finding the Third Proportional to 291,217 and 446,999

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Solution

The third proportional to 291,217 and 446,999 is: 686,114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,217 : 446,999 = 446,999 : x
  2. Step 2: Convert to fraction form
    291,217/446,999 = 446,999/x
  3. Step 3: Cross multiply
    291,217x = 446,999 × 446,999
  4. Step 4: Simplify right side
    291,217x = 199,808,106,001
  5. Step 5: Solve for x
    x = 199,808,106,001/291,217
  6. Step 6: Final answer
    x = 686,114.16

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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.