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Finding the Third Proportional to 290,594 and 452,307

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Solution

The third proportional to 290,594 and 452,307 is: 704,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,594 : 452,307 = 452,307 : x
  2. Step 2: Convert to fraction form
    290,594/452,307 = 452,307/x
  3. Step 3: Cross multiply
    290,594x = 452,307 × 452,307
  4. Step 4: Simplify right side
    290,594x = 204,581,622,249
  5. Step 5: Solve for x
    x = 204,581,622,249/290,594
  6. Step 6: Final answer
    x = 704,011.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.