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Finding the Third Proportional to 296,905 and 700,169

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Solution

The third proportional to 296,905 and 700,169 is: 1,651,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,905 : 700,169 = 700,169 : x
  2. Step 2: Convert to fraction form
    296,905/700,169 = 700,169/x
  3. Step 3: Cross multiply
    296,905x = 700,169 × 700,169
  4. Step 4: Simplify right side
    296,905x = 490,236,628,561
  5. Step 5: Solve for x
    x = 490,236,628,561/296,905
  6. Step 6: Final answer
    x = 1,651,156.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.