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Finding the Third Proportional to 301,541 and 634,078

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Solution

The third proportional to 301,541 and 634,078 is: 1,333,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,541 : 634,078 = 634,078 : x
  2. Step 2: Convert to fraction form
    301,541/634,078 = 634,078/x
  3. Step 3: Cross multiply
    301,541x = 634,078 × 634,078
  4. Step 4: Simplify right side
    301,541x = 402,054,910,084
  5. Step 5: Solve for x
    x = 402,054,910,084/301,541
  6. Step 6: Final answer
    x = 1,333,334.14

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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.