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Finding the Third Proportional to 336,507 and 741,294

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Solution

The third proportional to 336,507 and 741,294 is: 1,633,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,507 : 741,294 = 741,294 : x
  2. Step 2: Convert to fraction form
    336,507/741,294 = 741,294/x
  3. Step 3: Cross multiply
    336,507x = 741,294 × 741,294
  4. Step 4: Simplify right side
    336,507x = 549,516,794,436
  5. Step 5: Solve for x
    x = 549,516,794,436/336,507
  6. Step 6: Final answer
    x = 1,633,002.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.