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Finding the Third Proportional to 246,114 and 537,783

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Solution

The third proportional to 246,114 and 537,783 is: 1,175,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,114 : 537,783 = 537,783 : x
  2. Step 2: Convert to fraction form
    246,114/537,783 = 537,783/x
  3. Step 3: Cross multiply
    246,114x = 537,783 × 537,783
  4. Step 4: Simplify right side
    246,114x = 289,210,555,089
  5. Step 5: Solve for x
    x = 289,210,555,089/246,114
  6. Step 6: Final answer
    x = 1,175,108.10

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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.