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Finding the Third Proportional to 284,010 and 612,306

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Solution

The third proportional to 284,010 and 612,306 is: 1,320,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,010 : 612,306 = 612,306 : x
  2. Step 2: Convert to fraction form
    284,010/612,306 = 612,306/x
  3. Step 3: Cross multiply
    284,010x = 612,306 × 612,306
  4. Step 4: Simplify right side
    284,010x = 374,918,637,636
  5. Step 5: Solve for x
    x = 374,918,637,636/284,010
  6. Step 6: Final answer
    x = 1,320,089.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.