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Finding the Third Proportional to 246,554 and 361,047

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Solution

The third proportional to 246,554 and 361,047 is: 528,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,554 : 361,047 = 361,047 : x
  2. Step 2: Convert to fraction form
    246,554/361,047 = 361,047/x
  3. Step 3: Cross multiply
    246,554x = 361,047 × 361,047
  4. Step 4: Simplify right side
    246,554x = 130,354,936,209
  5. Step 5: Solve for x
    x = 130,354,936,209/246,554
  6. Step 6: Final answer
    x = 528,707.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.