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Finding the Third Proportional to 420,719,080.50 and 628,723,903.50

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Solution

The third proportional to 420,719,080.50 and 628,723,903.50 is: 939,566,958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,719,080.50 : 628,723,903.50 = 628,723,903.50 : x
  2. Step 2: Convert to fraction form
    420,719,080.50/628,723,903.50 = 628,723,903.50/x
  3. Step 3: Cross multiply
    420,719,080.50x = 628,723,903.50 × 628,723,903.50
  4. Step 4: Simplify right side
    420,719,080.50x = 395,293,746,832,277,312
  5. Step 5: Solve for x
    x = 395,293,746,832,277,312/420,719,080.50
  6. Step 6: Final answer
    x = 939,566,958.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.