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Finding the Third Proportional to 452,136 and 632,151

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Solution

The third proportional to 452,136 and 632,151 is: 883,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,136 : 632,151 = 632,151 : x
  2. Step 2: Convert to fraction form
    452,136/632,151 = 632,151/x
  3. Step 3: Cross multiply
    452,136x = 632,151 × 632,151
  4. Step 4: Simplify right side
    452,136x = 399,614,886,801
  5. Step 5: Solve for x
    x = 399,614,886,801/452,136
  6. Step 6: Final answer
    x = 883,837.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.