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Finding the Third Proportional to 304,669,380 and 464,142,726

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Solution

The third proportional to 304,669,380 and 464,142,726 is: 707,089,337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,669,380 : 464,142,726 = 464,142,726 : x
  2. Step 2: Convert to fraction form
    304,669,380/464,142,726 = 464,142,726/x
  3. Step 3: Cross multiply
    304,669,380x = 464,142,726 × 464,142,726
  4. Step 4: Simplify right side
    304,669,380x = 215,428,470,098,711,072
  5. Step 5: Solve for x
    x = 215,428,470,098,711,072/304,669,380
  6. Step 6: Final answer
    x = 707,089,337.62

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