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Finding the Third Proportional to 246,564 and 530,580

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Solution

The third proportional to 246,564 and 530,580 is: 1,141,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,564 : 530,580 = 530,580 : x
  2. Step 2: Convert to fraction form
    246,564/530,580 = 530,580/x
  3. Step 3: Cross multiply
    246,564x = 530,580 × 530,580
  4. Step 4: Simplify right side
    246,564x = 281,515,136,400
  5. Step 5: Solve for x
    x = 281,515,136,400/246,564
  6. Step 6: Final answer
    x = 1,141,752.80

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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.