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Finding the Third Proportional to 301,545 and 634,086

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Solution

The third proportional to 301,545 and 634,086 is: 1,333,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,545 : 634,086 = 634,086 : x
  2. Step 2: Convert to fraction form
    301,545/634,086 = 634,086/x
  3. Step 3: Cross multiply
    301,545x = 634,086 × 634,086
  4. Step 4: Simplify right side
    301,545x = 402,065,055,396
  5. Step 5: Solve for x
    x = 402,065,055,396/301,545
  6. Step 6: Final answer
    x = 1,333,350.10

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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.