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Finding the Third Proportional to 246,294 and 539,306

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Solution

The third proportional to 246,294 and 539,306 is: 1,180,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,294 : 539,306 = 539,306 : x
  2. Step 2: Convert to fraction form
    246,294/539,306 = 539,306/x
  3. Step 3: Cross multiply
    246,294x = 539,306 × 539,306
  4. Step 4: Simplify right side
    246,294x = 290,850,961,636
  5. Step 5: Solve for x
    x = 290,850,961,636/246,294
  6. Step 6: Final answer
    x = 1,180,909.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.