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Finding the Third Proportional to 284,226 and 607,837.50

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Solution

The third proportional to 284,226 and 607,837.50 is: 1,299,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,226 : 607,837.50 = 607,837.50 : x
  2. Step 2: Convert to fraction form
    284,226/607,837.50 = 607,837.50/x
  3. Step 3: Cross multiply
    284,226x = 607,837.50 × 607,837.50
  4. Step 4: Simplify right side
    284,226x = 369,466,426,406.25
  5. Step 5: Solve for x
    x = 369,466,426,406.25/284,226
  6. Step 6: Final answer
    x = 1,299,903.69

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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.