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Finding the Third Proportional to 294,549 and 453,306

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Solution

The third proportional to 294,549 and 453,306 is: 697,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,549 : 453,306 = 453,306 : x
  2. Step 2: Convert to fraction form
    294,549/453,306 = 453,306/x
  3. Step 3: Cross multiply
    294,549x = 453,306 × 453,306
  4. Step 4: Simplify right side
    294,549x = 205,486,329,636
  5. Step 5: Solve for x
    x = 205,486,329,636/294,549
  6. Step 6: Final answer
    x = 697,630.38

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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.