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Finding the Third Proportional to 284,820.25 and 614,673.50

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Solution

The third proportional to 284,820.25 and 614,673.50 is: 1,326,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,820.25 : 614,673.50 = 614,673.50 : x
  2. Step 2: Convert to fraction form
    284,820.25/614,673.50 = 614,673.50/x
  3. Step 3: Cross multiply
    284,820.25x = 614,673.50 × 614,673.50
  4. Step 4: Simplify right side
    284,820.25x = 377,823,511,602.25
  5. Step 5: Solve for x
    x = 377,823,511,602.25/284,820.25
  6. Step 6: Final answer
    x = 1,326,533.18

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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.