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Finding the Third Proportional to 304,669,376 and 464,142,720

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Solution

The third proportional to 304,669,376 and 464,142,720 is: 707,089,328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,669,376 : 464,142,720 = 464,142,720 : x
  2. Step 2: Convert to fraction form
    304,669,376/464,142,720 = 464,142,720/x
  3. Step 3: Cross multiply
    304,669,376x = 464,142,720 × 464,142,720
  4. Step 4: Simplify right side
    304,669,376x = 215,428,464,528,998,400
  5. Step 5: Solve for x
    x = 215,428,464,528,998,400/304,669,376
  6. Step 6: Final answer
    x = 707,089,328.63

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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.