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Finding the Third Proportional to 360,136 and 559,036

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Solution

The third proportional to 360,136 and 559,036 is: 867,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,136 : 559,036 = 559,036 : x
  2. Step 2: Convert to fraction form
    360,136/559,036 = 559,036/x
  3. Step 3: Cross multiply
    360,136x = 559,036 × 559,036
  4. Step 4: Simplify right side
    360,136x = 312,521,249,296
  5. Step 5: Solve for x
    x = 312,521,249,296/360,136
  6. Step 6: Final answer
    x = 867,786.75

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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.