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Finding the Third Proportional to 291,231 and 636,342

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Solution

The third proportional to 291,231 and 636,342 is: 1,390,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,231 : 636,342 = 636,342 : x
  2. Step 2: Convert to fraction form
    291,231/636,342 = 636,342/x
  3. Step 3: Cross multiply
    291,231x = 636,342 × 636,342
  4. Step 4: Simplify right side
    291,231x = 404,931,140,964
  5. Step 5: Solve for x
    x = 404,931,140,964/291,231
  6. Step 6: Final answer
    x = 1,390,412.22

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