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Finding the Third Proportional to 284,454 and 416,160

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Solution

The third proportional to 284,454 and 416,160 is: 608,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,454 : 416,160 = 416,160 : x
  2. Step 2: Convert to fraction form
    284,454/416,160 = 416,160/x
  3. Step 3: Cross multiply
    284,454x = 416,160 × 416,160
  4. Step 4: Simplify right side
    284,454x = 173,189,145,600
  5. Step 5: Solve for x
    x = 173,189,145,600/284,454
  6. Step 6: Final answer
    x = 608,847.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.