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Finding the Third Proportional to 329,482,257 and 722,265,042

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Solution

The third proportional to 329,482,257 and 722,265,042 is: 1,583,292,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,482,257 : 722,265,042 = 722,265,042 : x
  2. Step 2: Convert to fraction form
    329,482,257/722,265,042 = 722,265,042/x
  3. Step 3: Cross multiply
    329,482,257x = 722,265,042 × 722,265,042
  4. Step 4: Simplify right side
    329,482,257x = 521,666,790,895,261,760
  5. Step 5: Solve for x
    x = 521,666,790,895,261,760/329,482,257
  6. Step 6: Final answer
    x = 1,583,292,513.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.