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Finding the Third Proportional to 294,546.94 and 453,302.16

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Solution

The third proportional to 294,546.94 and 453,302.16 is: 697,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,546.94 : 453,302.16 = 453,302.16 : x
  2. Step 2: Convert to fraction form
    294,546.94/453,302.16 = 453,302.16/x
  3. Step 3: Cross multiply
    294,546.94x = 453,302.16 × 453,302.16
  4. Step 4: Simplify right side
    294,546.94x = 205,482,844,860.90
  5. Step 5: Solve for x
    x = 205,482,844,860.90/294,546.94
  6. Step 6: Final answer
    x = 697,623.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.