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Finding the Third Proportional to 294,522.75 and 453,367.13

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Solution

The third proportional to 294,522.75 and 453,367.13 is: 697,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,522.75 : 453,367.13 = 453,367.13 : x
  2. Step 2: Convert to fraction form
    294,522.75/453,367.13 = 453,367.13/x
  3. Step 3: Cross multiply
    294,522.75x = 453,367.13 × 453,367.13
  4. Step 4: Simplify right side
    294,522.75x = 205,541,750,030.77
  5. Step 5: Solve for x
    x = 205,541,750,030.77/294,522.75
  6. Step 6: Final answer
    x = 697,880.72

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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.