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Finding the Third Proportional to 353,784 and 500,136

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Solution

The third proportional to 353,784 and 500,136 is: 707,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,784 : 500,136 = 500,136 : x
  2. Step 2: Convert to fraction form
    353,784/500,136 = 500,136/x
  3. Step 3: Cross multiply
    353,784x = 500,136 × 500,136
  4. Step 4: Simplify right side
    353,784x = 250,136,018,496
  5. Step 5: Solve for x
    x = 250,136,018,496/353,784
  6. Step 6: Final answer
    x = 707,030.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.