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Finding the Third Proportional to 353,886 and 562,887

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Solution

The third proportional to 353,886 and 562,887 is: 895,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,886 : 562,887 = 562,887 : x
  2. Step 2: Convert to fraction form
    353,886/562,887 = 562,887/x
  3. Step 3: Cross multiply
    353,886x = 562,887 × 562,887
  4. Step 4: Simplify right side
    353,886x = 316,841,774,769
  5. Step 5: Solve for x
    x = 316,841,774,769/353,886
  6. Step 6: Final answer
    x = 895,321.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.