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Finding the Third Proportional to 246,026 and 529,784

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Solution

The third proportional to 246,026 and 529,784 is: 1,140,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,026 : 529,784 = 529,784 : x
  2. Step 2: Convert to fraction form
    246,026/529,784 = 529,784/x
  3. Step 3: Cross multiply
    246,026x = 529,784 × 529,784
  4. Step 4: Simplify right side
    246,026x = 280,671,086,656
  5. Step 5: Solve for x
    x = 280,671,086,656/246,026
  6. Step 6: Final answer
    x = 1,140,818.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.