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Finding the Third Proportional to 291,936 and 631,854

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Solution

The third proportional to 291,936 and 631,854 is: 1,367,558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,936 : 631,854 = 631,854 : x
  2. Step 2: Convert to fraction form
    291,936/631,854 = 631,854/x
  3. Step 3: Cross multiply
    291,936x = 631,854 × 631,854
  4. Step 4: Simplify right side
    291,936x = 399,239,477,316
  5. Step 5: Solve for x
    x = 399,239,477,316/291,936
  6. Step 6: Final answer
    x = 1,367,558.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.