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Finding the Third Proportional to 341,088 and 749,856

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Solution

The third proportional to 341,088 and 749,856 is: 1,648,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,088 : 749,856 = 749,856 : x
  2. Step 2: Convert to fraction form
    341,088/749,856 = 749,856/x
  3. Step 3: Cross multiply
    341,088x = 749,856 × 749,856
  4. Step 4: Simplify right side
    341,088x = 562,284,020,736
  5. Step 5: Solve for x
    x = 562,284,020,736/341,088
  6. Step 6: Final answer
    x = 1,648,501.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.