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Finding the Third Proportional to 301,536 and 634,068

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Solution

The third proportional to 301,536 and 634,068 is: 1,333,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,536 : 634,068 = 634,068 : x
  2. Step 2: Convert to fraction form
    301,536/634,068 = 634,068/x
  3. Step 3: Cross multiply
    301,536x = 634,068 × 634,068
  4. Step 4: Simplify right side
    301,536x = 402,042,228,624
  5. Step 5: Solve for x
    x = 402,042,228,624/301,536
  6. Step 6: Final answer
    x = 1,333,314.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.