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Finding the Third Proportional to 295,572 and 614,732

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Solution

The third proportional to 295,572 and 614,732 is: 1,278,522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,572 : 614,732 = 614,732 : x
  2. Step 2: Convert to fraction form
    295,572/614,732 = 614,732/x
  3. Step 3: Cross multiply
    295,572x = 614,732 × 614,732
  4. Step 4: Simplify right side
    295,572x = 377,895,431,824
  5. Step 5: Solve for x
    x = 377,895,431,824/295,572
  6. Step 6: Final answer
    x = 1,278,522.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.