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Finding the Third Proportional to 237,088 and 559,640

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Solution

The third proportional to 237,088 and 559,640 is: 1,321,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,088 : 559,640 = 559,640 : x
  2. Step 2: Convert to fraction form
    237,088/559,640 = 559,640/x
  3. Step 3: Cross multiply
    237,088x = 559,640 × 559,640
  4. Step 4: Simplify right side
    237,088x = 313,196,929,600
  5. Step 5: Solve for x
    x = 313,196,929,600/237,088
  6. Step 6: Final answer
    x = 1,321,015.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.