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Finding the Third Proportional to 271,457 and 591,106

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Solution

The third proportional to 271,457 and 591,106 is: 1,287,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,457 : 591,106 = 591,106 : x
  2. Step 2: Convert to fraction form
    271,457/591,106 = 591,106/x
  3. Step 3: Cross multiply
    271,457x = 591,106 × 591,106
  4. Step 4: Simplify right side
    271,457x = 349,406,303,236
  5. Step 5: Solve for x
    x = 349,406,303,236/271,457
  6. Step 6: Final answer
    x = 1,287,151.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.