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Finding the Third Proportional to 294,553 and 450,397

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Solution

The third proportional to 294,553 and 450,397 is: 688,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,553 : 450,397 = 450,397 : x
  2. Step 2: Convert to fraction form
    294,553/450,397 = 450,397/x
  3. Step 3: Cross multiply
    294,553x = 450,397 × 450,397
  4. Step 4: Simplify right side
    294,553x = 202,857,457,609
  5. Step 5: Solve for x
    x = 202,857,457,609/294,553
  6. Step 6: Final answer
    x = 688,695.95

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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.