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Finding the Third Proportional to 282,776 and 609,832

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Solution

The third proportional to 282,776 and 609,832 is: 1,315,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,776 : 609,832 = 609,832 : x
  2. Step 2: Convert to fraction form
    282,776/609,832 = 609,832/x
  3. Step 3: Cross multiply
    282,776x = 609,832 × 609,832
  4. Step 4: Simplify right side
    282,776x = 371,895,068,224
  5. Step 5: Solve for x
    x = 371,895,068,224/282,776
  6. Step 6: Final answer
    x = 1,315,157.82

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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.