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Finding the Third Proportional to 334,842 and 702,378

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Solution

The third proportional to 334,842 and 702,378 is: 1,473,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,842 : 702,378 = 702,378 : x
  2. Step 2: Convert to fraction form
    334,842/702,378 = 702,378/x
  3. Step 3: Cross multiply
    334,842x = 702,378 × 702,378
  4. Step 4: Simplify right side
    334,842x = 493,334,854,884
  5. Step 5: Solve for x
    x = 493,334,854,884/334,842
  6. Step 6: Final answer
    x = 1,473,336.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.