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Finding the Third Proportional to 325,581 and 697,887

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Solution

The third proportional to 325,581 and 697,887 is: 1,495,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,581 : 697,887 = 697,887 : x
  2. Step 2: Convert to fraction form
    325,581/697,887 = 697,887/x
  3. Step 3: Cross multiply
    325,581x = 697,887 × 697,887
  4. Step 4: Simplify right side
    325,581x = 487,046,264,769
  5. Step 5: Solve for x
    x = 487,046,264,769/325,581
  6. Step 6: Final answer
    x = 1,495,929.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.