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Finding the Third Proportional to 317,677,025.25 and 464,324,071.50

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Solution

The third proportional to 317,677,025.25 and 464,324,071.50 is: 678,666,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,677,025.25 : 464,324,071.50 = 464,324,071.50 : x
  2. Step 2: Convert to fraction form
    317,677,025.25/464,324,071.50 = 464,324,071.50/x
  3. Step 3: Cross multiply
    317,677,025.25x = 464,324,071.50 × 464,324,071.50
  4. Step 4: Simplify right side
    317,677,025.25x = 215,596,843,374,337,120
  5. Step 5: Solve for x
    x = 215,596,843,374,337,120/317,677,025.25
  6. Step 6: Final answer
    x = 678,666,778.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.