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Finding the Third Proportional to 301,254,079.50 and 456,428,202.75

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Solution

The third proportional to 301,254,079.50 and 456,428,202.75 is: 691,531,562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,254,079.50 : 456,428,202.75 = 456,428,202.75 : x
  2. Step 2: Convert to fraction form
    301,254,079.50/456,428,202.75 = 456,428,202.75/x
  3. Step 3: Cross multiply
    301,254,079.50x = 456,428,202.75 × 456,428,202.75
  4. Step 4: Simplify right side
    301,254,079.50x = 208,326,704,265,595,104
  5. Step 5: Solve for x
    x = 208,326,704,265,595,104/301,254,079.50
  6. Step 6: Final answer
    x = 691,531,562.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.