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Finding the Third Proportional to 366,959 and 607,329

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Solution

The third proportional to 366,959 and 607,329 is: 1,005,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,959 : 607,329 = 607,329 : x
  2. Step 2: Convert to fraction form
    366,959/607,329 = 607,329/x
  3. Step 3: Cross multiply
    366,959x = 607,329 × 607,329
  4. Step 4: Simplify right side
    366,959x = 368,848,514,241
  5. Step 5: Solve for x
    x = 368,848,514,241/366,959
  6. Step 6: Final answer
    x = 1,005,149.12

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.