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Finding the Third Proportional to 284,460 and 611,092.50

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Solution

The third proportional to 284,460 and 611,092.50 is: 1,312,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,460 : 611,092.50 = 611,092.50 : x
  2. Step 2: Convert to fraction form
    284,460/611,092.50 = 611,092.50/x
  3. Step 3: Cross multiply
    284,460x = 611,092.50 × 611,092.50
  4. Step 4: Simplify right side
    284,460x = 373,434,043,556.25
  5. Step 5: Solve for x
    x = 373,434,043,556.25/284,460
  6. Step 6: Final answer
    x = 1,312,782.27

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.