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Finding the Third Proportional to 458,136 and 696,924

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Solution

The third proportional to 458,136 and 696,924 is: 1,060,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,136 : 696,924 = 696,924 : x
  2. Step 2: Convert to fraction form
    458,136/696,924 = 696,924/x
  3. Step 3: Cross multiply
    458,136x = 696,924 × 696,924
  4. Step 4: Simplify right side
    458,136x = 485,703,061,776
  5. Step 5: Solve for x
    x = 485,703,061,776/458,136
  6. Step 6: Final answer
    x = 1,060,172.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.