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Finding the Third Proportional to 284,929.50 and 451,179

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Solution

The third proportional to 284,929.50 and 451,179 is: 714,431.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,929.50 : 451,179 = 451,179 : x
  2. Step 2: Convert to fraction form
    284,929.50/451,179 = 451,179/x
  3. Step 3: Cross multiply
    284,929.50x = 451,179 × 451,179
  4. Step 4: Simplify right side
    284,929.50x = 203,562,490,041
  5. Step 5: Solve for x
    x = 203,562,490,041/284,929.50
  6. Step 6: Final answer
    x = 714,431.08

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.