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Finding the Third Proportional to 304,669,396 and 464,142,750

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Solution

The third proportional to 304,669,396 and 464,142,750 is: 707,089,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,669,396 : 464,142,750 = 464,142,750 : x
  2. Step 2: Convert to fraction form
    304,669,396/464,142,750 = 464,142,750/x
  3. Step 3: Cross multiply
    304,669,396x = 464,142,750 × 464,142,750
  4. Step 4: Simplify right side
    304,669,396x = 215,428,492,377,562,496
  5. Step 5: Solve for x
    x = 215,428,492,377,562,496/304,669,396
  6. Step 6: Final answer
    x = 707,089,373.62

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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.