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Finding the Third Proportional to 325,106 and 695,278

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Solution

The third proportional to 325,106 and 695,278 is: 1,486,935.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,106 : 695,278 = 695,278 : x
  2. Step 2: Convert to fraction form
    325,106/695,278 = 695,278/x
  3. Step 3: Cross multiply
    325,106x = 695,278 × 695,278
  4. Step 4: Simplify right side
    325,106x = 483,411,497,284
  5. Step 5: Solve for x
    x = 483,411,497,284/325,106
  6. Step 6: Final answer
    x = 1,486,935.02

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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.