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Finding the Third Proportional to 386,136 and 597,888

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Solution

The third proportional to 386,136 and 597,888 is: 925,762.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,136 : 597,888 = 597,888 : x
  2. Step 2: Convert to fraction form
    386,136/597,888 = 597,888/x
  3. Step 3: Cross multiply
    386,136x = 597,888 × 597,888
  4. Step 4: Simplify right side
    386,136x = 357,470,060,544
  5. Step 5: Solve for x
    x = 357,470,060,544/386,136
  6. Step 6: Final answer
    x = 925,762.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.