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Finding the Third Proportional to 284,499 and 400,261.50

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Solution

The third proportional to 284,499 and 400,261.50 is: 563,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,499 : 400,261.50 = 400,261.50 : x
  2. Step 2: Convert to fraction form
    284,499/400,261.50 = 400,261.50/x
  3. Step 3: Cross multiply
    284,499x = 400,261.50 × 400,261.50
  4. Step 4: Simplify right side
    284,499x = 160,209,268,382.25
  5. Step 5: Solve for x
    x = 160,209,268,382.25/284,499
  6. Step 6: Final answer
    x = 563,127.70

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.