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Finding the Third Proportional to 304,614,439 and 464,063,914.50

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Solution

The third proportional to 304,614,439 and 464,063,914.50 is: 706,976,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,614,439 : 464,063,914.50 = 464,063,914.50 : x
  2. Step 2: Convert to fraction form
    304,614,439/464,063,914.50 = 464,063,914.50/x
  3. Step 3: Cross multiply
    304,614,439x = 464,063,914.50 × 464,063,914.50
  4. Step 4: Simplify right side
    304,614,439x = 215,355,316,741,063,296
  5. Step 5: Solve for x
    x = 215,355,316,741,063,296/304,614,439
  6. Step 6: Final answer
    x = 706,976,719.32

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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.