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Finding the Third Proportional to 341,827 and 745,159

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Solution

The third proportional to 341,827 and 745,159 is: 1,624,394.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,827 : 745,159 = 745,159 : x
  2. Step 2: Convert to fraction form
    341,827/745,159 = 745,159/x
  3. Step 3: Cross multiply
    341,827x = 745,159 × 745,159
  4. Step 4: Simplify right side
    341,827x = 555,261,935,281
  5. Step 5: Solve for x
    x = 555,261,935,281/341,827
  6. Step 6: Final answer
    x = 1,624,394.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.