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Finding the Third Proportional to 421,332 and 596,169

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Solution

The third proportional to 421,332 and 596,169 is: 843,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,332 : 596,169 = 596,169 : x
  2. Step 2: Convert to fraction form
    421,332/596,169 = 596,169/x
  3. Step 3: Cross multiply
    421,332x = 596,169 × 596,169
  4. Step 4: Simplify right side
    421,332x = 355,417,476,561
  5. Step 5: Solve for x
    x = 355,417,476,561/421,332
  6. Step 6: Final answer
    x = 843,556.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.