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Finding the Third Proportional to 291,136 and 434,916

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Solution

The third proportional to 291,136 and 434,916 is: 649,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,136 : 434,916 = 434,916 : x
  2. Step 2: Convert to fraction form
    291,136/434,916 = 434,916/x
  3. Step 3: Cross multiply
    291,136x = 434,916 × 434,916
  4. Step 4: Simplify right side
    291,136x = 189,151,927,056
  5. Step 5: Solve for x
    x = 189,151,927,056/291,136
  6. Step 6: Final answer
    x = 649,702.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.