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Finding the Third Proportional to 290,596 and 452,310

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Solution

The third proportional to 290,596 and 452,310 is: 704,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,596 : 452,310 = 452,310 : x
  2. Step 2: Convert to fraction form
    290,596/452,310 = 452,310/x
  3. Step 3: Cross multiply
    290,596x = 452,310 × 452,310
  4. Step 4: Simplify right side
    290,596x = 204,584,336,100
  5. Step 5: Solve for x
    x = 204,584,336,100/290,596
  6. Step 6: Final answer
    x = 704,016.35

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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.