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Finding the Third Proportional to 304,669,382 and 464,142,729

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Solution

The third proportional to 304,669,382 and 464,142,729 is: 707,089,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,669,382 : 464,142,729 = 464,142,729 : x
  2. Step 2: Convert to fraction form
    304,669,382/464,142,729 = 464,142,729/x
  3. Step 3: Cross multiply
    304,669,382x = 464,142,729 × 464,142,729
  4. Step 4: Simplify right side
    304,669,382x = 215,428,472,883,567,456
  5. Step 5: Solve for x
    x = 215,428,472,883,567,456/304,669,382
  6. Step 6: Final answer
    x = 707,089,342.12

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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.