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Finding the Third Proportional to 435,968 and 675,336

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Solution

The third proportional to 435,968 and 675,336 is: 1,046,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,968 : 675,336 = 675,336 : x
  2. Step 2: Convert to fraction form
    435,968/675,336 = 675,336/x
  3. Step 3: Cross multiply
    435,968x = 675,336 × 675,336
  4. Step 4: Simplify right side
    435,968x = 456,078,712,896
  5. Step 5: Solve for x
    x = 456,078,712,896/435,968
  6. Step 6: Final answer
    x = 1,046,128.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.