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Finding the Third Proportional to 246,732 and 528,492

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Solution

The third proportional to 246,732 and 528,492 is: 1,132,012.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,732 : 528,492 = 528,492 : x
  2. Step 2: Convert to fraction form
    246,732/528,492 = 528,492/x
  3. Step 3: Cross multiply
    246,732x = 528,492 × 528,492
  4. Step 4: Simplify right side
    246,732x = 279,303,794,064
  5. Step 5: Solve for x
    x = 279,303,794,064/246,732
  6. Step 6: Final answer
    x = 1,132,012.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.