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Finding the Third Proportional to 336,298 and 514,299

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Solution

The third proportional to 336,298 and 514,299 is: 786,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,298 : 514,299 = 514,299 : x
  2. Step 2: Convert to fraction form
    336,298/514,299 = 514,299/x
  3. Step 3: Cross multiply
    336,298x = 514,299 × 514,299
  4. Step 4: Simplify right side
    336,298x = 264,503,461,401
  5. Step 5: Solve for x
    x = 264,503,461,401/336,298
  6. Step 6: Final answer
    x = 786,515.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.