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Finding the Third Proportional to 127,411 and 274,646

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Solution

The third proportional to 127,411 and 274,646 is: 592,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,411 : 274,646 = 274,646 : x
  2. Step 2: Convert to fraction form
    127,411/274,646 = 274,646/x
  3. Step 3: Cross multiply
    127,411x = 274,646 × 274,646
  4. Step 4: Simplify right side
    127,411x = 75,430,425,316
  5. Step 5: Solve for x
    x = 75,430,425,316/127,411
  6. Step 6: Final answer
    x = 592,024.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.