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Finding the Third Proportional to 284,886 and 607,909.50

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Solution

The third proportional to 284,886 and 607,909.50 is: 1,297,199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,886 : 607,909.50 = 607,909.50 : x
  2. Step 2: Convert to fraction form
    284,886/607,909.50 = 607,909.50/x
  3. Step 3: Cross multiply
    284,886x = 607,909.50 × 607,909.50
  4. Step 4: Simplify right side
    284,886x = 369,553,960,190.25
  5. Step 5: Solve for x
    x = 369,553,960,190.25/284,886
  6. Step 6: Final answer
    x = 1,297,199.44

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.