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Finding the Third Proportional to 434,448 and 606,933

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Solution

The third proportional to 434,448 and 606,933 is: 847,898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,448 : 606,933 = 606,933 : x
  2. Step 2: Convert to fraction form
    434,448/606,933 = 606,933/x
  3. Step 3: Cross multiply
    434,448x = 606,933 × 606,933
  4. Step 4: Simplify right side
    434,448x = 368,367,666,489
  5. Step 5: Solve for x
    x = 368,367,666,489/434,448
  6. Step 6: Final answer
    x = 847,898.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.