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Finding the Third Proportional to 300,531 and 634,596

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Solution

The third proportional to 300,531 and 634,596 is: 1,340,001.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,531 : 634,596 = 634,596 : x
  2. Step 2: Convert to fraction form
    300,531/634,596 = 634,596/x
  3. Step 3: Cross multiply
    300,531x = 634,596 × 634,596
  4. Step 4: Simplify right side
    300,531x = 402,712,083,216
  5. Step 5: Solve for x
    x = 402,712,083,216/300,531
  6. Step 6: Final answer
    x = 1,340,001.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.