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Finding the Third Proportional to 284,044.50 and 611,005.50

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Solution

The third proportional to 284,044.50 and 611,005.50 is: 1,314,328.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,044.50 : 611,005.50 = 611,005.50 : x
  2. Step 2: Convert to fraction form
    284,044.50/611,005.50 = 611,005.50/x
  3. Step 3: Cross multiply
    284,044.50x = 611,005.50 × 611,005.50
  4. Step 4: Simplify right side
    284,044.50x = 373,327,721,030.25
  5. Step 5: Solve for x
    x = 373,327,721,030.25/284,044.50
  6. Step 6: Final answer
    x = 1,314,328.29

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Why These Related Problems?

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