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Finding the Third Proportional to 284,480 and 611,142

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Solution

The third proportional to 284,480 and 611,142 is: 1,312,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,480 : 611,142 = 611,142 : x
  2. Step 2: Convert to fraction form
    284,480/611,142 = 611,142/x
  3. Step 3: Cross multiply
    284,480x = 611,142 × 611,142
  4. Step 4: Simplify right side
    284,480x = 373,494,544,164
  5. Step 5: Solve for x
    x = 373,494,544,164/284,480
  6. Step 6: Final answer
    x = 1,312,902.64

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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.