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Finding the Third Proportional to 291,146 and 636,602

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Solution

The third proportional to 291,146 and 636,602 is: 1,391,954.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,146 : 636,602 = 636,602 : x
  2. Step 2: Convert to fraction form
    291,146/636,602 = 636,602/x
  3. Step 3: Cross multiply
    291,146x = 636,602 × 636,602
  4. Step 4: Simplify right side
    291,146x = 405,262,106,404
  5. Step 5: Solve for x
    x = 405,262,106,404/291,146
  6. Step 6: Final answer
    x = 1,391,954.92

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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.