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Finding the Third Proportional to 224,575 and 337,773

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Solution

The third proportional to 224,575 and 337,773 is: 508,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,575 : 337,773 = 337,773 : x
  2. Step 2: Convert to fraction form
    224,575/337,773 = 337,773/x
  3. Step 3: Cross multiply
    224,575x = 337,773 × 337,773
  4. Step 4: Simplify right side
    224,575x = 114,090,599,529
  5. Step 5: Solve for x
    x = 114,090,599,529/224,575
  6. Step 6: Final answer
    x = 508,028.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.