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Finding the Third Proportional to 294,628 and 450,503

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Solution

The third proportional to 294,628 and 450,503 is: 688,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,628 : 450,503 = 450,503 : x
  2. Step 2: Convert to fraction form
    294,628/450,503 = 450,503/x
  3. Step 3: Cross multiply
    294,628x = 450,503 × 450,503
  4. Step 4: Simplify right side
    294,628x = 202,952,953,009
  5. Step 5: Solve for x
    x = 202,952,953,009/294,628
  6. Step 6: Final answer
    x = 688,844.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.