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Finding the Third Proportional to 291,216 and 636,312

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Solution

The third proportional to 291,216 and 636,312 is: 1,390,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,216 : 636,312 = 636,312 : x
  2. Step 2: Convert to fraction form
    291,216/636,312 = 636,312/x
  3. Step 3: Cross multiply
    291,216x = 636,312 × 636,312
  4. Step 4: Simplify right side
    291,216x = 404,892,961,344
  5. Step 5: Solve for x
    x = 404,892,961,344/291,216
  6. Step 6: Final answer
    x = 1,390,352.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.