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Finding the Third Proportional to 284,921.63 and 451,166.25

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Solution

The third proportional to 284,921.63 and 451,166.25 is: 714,410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,921.63 : 451,166.25 = 451,166.25 : x
  2. Step 2: Convert to fraction form
    284,921.63/451,166.25 = 451,166.25/x
  3. Step 3: Cross multiply
    284,921.63x = 451,166.25 × 451,166.25
  4. Step 4: Simplify right side
    284,921.63x = 203,550,985,139.06
  5. Step 5: Solve for x
    x = 203,550,985,139.06/284,921.63
  6. Step 6: Final answer
    x = 714,410.45

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1.5x scale

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.