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Finding the Third Proportional to 291,732 and 644,700

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Solution

The third proportional to 291,732 and 644,700 is: 1,424,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,732 : 644,700 = 644,700 : x
  2. Step 2: Convert to fraction form
    291,732/644,700 = 644,700/x
  3. Step 3: Cross multiply
    291,732x = 644,700 × 644,700
  4. Step 4: Simplify right side
    291,732x = 415,638,090,000
  5. Step 5: Solve for x
    x = 415,638,090,000/291,732
  6. Step 6: Final answer
    x = 1,424,725.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.