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Finding the Third Proportional to 334,389 and 745,362

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Solution

The third proportional to 334,389 and 745,362 is: 1,661,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,389 : 745,362 = 745,362 : x
  2. Step 2: Convert to fraction form
    334,389/745,362 = 745,362/x
  3. Step 3: Cross multiply
    334,389x = 745,362 × 745,362
  4. Step 4: Simplify right side
    334,389x = 555,564,511,044
  5. Step 5: Solve for x
    x = 555,564,511,044/334,389
  6. Step 6: Final answer
    x = 1,661,431.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.