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Finding the Third Proportional to 284,220 and 607,821.75

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Solution

The third proportional to 284,220 and 607,821.75 is: 1,299,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,220 : 607,821.75 = 607,821.75 : x
  2. Step 2: Convert to fraction form
    284,220/607,821.75 = 607,821.75/x
  3. Step 3: Cross multiply
    284,220x = 607,821.75 × 607,821.75
  4. Step 4: Simplify right side
    284,220x = 369,447,279,773.06
  5. Step 5: Solve for x
    x = 369,447,279,773.06/284,220
  6. Step 6: Final answer
    x = 1,299,863.77

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