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Finding the Third Proportional to 334,844 and 702,382

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Solution

The third proportional to 334,844 and 702,382 is: 1,473,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,844 : 702,382 = 702,382 : x
  2. Step 2: Convert to fraction form
    334,844/702,382 = 702,382/x
  3. Step 3: Cross multiply
    334,844x = 702,382 × 702,382
  4. Step 4: Simplify right side
    334,844x = 493,340,473,924
  5. Step 5: Solve for x
    x = 493,340,473,924/334,844
  6. Step 6: Final answer
    x = 1,473,344.23

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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.