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Finding the Third Proportional to 246,564 and 315,063

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Solution

The third proportional to 246,564 and 315,063 is: 402,592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,564 : 315,063 = 315,063 : x
  2. Step 2: Convert to fraction form
    246,564/315,063 = 315,063/x
  3. Step 3: Cross multiply
    246,564x = 315,063 × 315,063
  4. Step 4: Simplify right side
    246,564x = 99,264,693,969
  5. Step 5: Solve for x
    x = 99,264,693,969/246,564
  6. Step 6: Final answer
    x = 402,592.00

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.