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Finding the Third Proportional to 246,112 and 537,774

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Solution

The third proportional to 246,112 and 537,774 is: 1,175,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,112 : 537,774 = 537,774 : x
  2. Step 2: Convert to fraction form
    246,112/537,774 = 537,774/x
  3. Step 3: Cross multiply
    246,112x = 537,774 × 537,774
  4. Step 4: Simplify right side
    246,112x = 289,200,875,076
  5. Step 5: Solve for x
    x = 289,200,875,076/246,112
  6. Step 6: Final answer
    x = 1,175,078.32

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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.