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Finding the Third Proportional to 301,542 and 634,080

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Solution

The third proportional to 301,542 and 634,080 is: 1,333,338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,542 : 634,080 = 634,080 : x
  2. Step 2: Convert to fraction form
    301,542/634,080 = 634,080/x
  3. Step 3: Cross multiply
    301,542x = 634,080 × 634,080
  4. Step 4: Simplify right side
    301,542x = 402,057,446,400
  5. Step 5: Solve for x
    x = 402,057,446,400/301,542
  6. Step 6: Final answer
    x = 1,333,338.13

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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.