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Finding the Third Proportional to 336,294 and 735,732

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Solution

The third proportional to 336,294 and 735,732 is: 1,609,608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,294 : 735,732 = 735,732 : x
  2. Step 2: Convert to fraction form
    336,294/735,732 = 735,732/x
  3. Step 3: Cross multiply
    336,294x = 735,732 × 735,732
  4. Step 4: Simplify right side
    336,294x = 541,301,575,824
  5. Step 5: Solve for x
    x = 541,301,575,824/336,294
  6. Step 6: Final answer
    x = 1,609,608.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.