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Finding the Third Proportional to 399,664 and 602,136

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Solution

The third proportional to 399,664 and 602,136 is: 907,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,664 : 602,136 = 602,136 : x
  2. Step 2: Convert to fraction form
    399,664/602,136 = 602,136/x
  3. Step 3: Cross multiply
    399,664x = 602,136 × 602,136
  4. Step 4: Simplify right side
    399,664x = 362,567,762,496
  5. Step 5: Solve for x
    x = 362,567,762,496/399,664
  6. Step 6: Final answer
    x = 907,181.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.