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Finding the Third Proportional to 275,356 and 565,534

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Solution

The third proportional to 275,356 and 565,534 is: 1,161,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,356 : 565,534 = 565,534 : x
  2. Step 2: Convert to fraction form
    275,356/565,534 = 565,534/x
  3. Step 3: Cross multiply
    275,356x = 565,534 × 565,534
  4. Step 4: Simplify right side
    275,356x = 319,828,705,156
  5. Step 5: Solve for x
    x = 319,828,705,156/275,356
  6. Step 6: Final answer
    x = 1,161,509.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.