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Finding the Third Proportional to 321,202 and 697,746

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Solution

The third proportional to 321,202 and 697,746 is: 1,515,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,202 : 697,746 = 697,746 : x
  2. Step 2: Convert to fraction form
    321,202/697,746 = 697,746/x
  3. Step 3: Cross multiply
    321,202x = 697,746 × 697,746
  4. Step 4: Simplify right side
    321,202x = 486,849,480,516
  5. Step 5: Solve for x
    x = 486,849,480,516/321,202
  6. Step 6: Final answer
    x = 1,515,711.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.