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Finding the Third Proportional to 284,289 and 612,862.50

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Solution

The third proportional to 284,289 and 612,862.50 is: 1,321,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,289 : 612,862.50 = 612,862.50 : x
  2. Step 2: Convert to fraction form
    284,289/612,862.50 = 612,862.50/x
  3. Step 3: Cross multiply
    284,289x = 612,862.50 × 612,862.50
  4. Step 4: Simplify right side
    284,289x = 375,600,443,906.25
  5. Step 5: Solve for x
    x = 375,600,443,906.25/284,289
  6. Step 6: Final answer
    x = 1,321,192.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.