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Finding the Third Proportional to 329,119,260 and 701,978,516

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Solution

The third proportional to 329,119,260 and 701,978,516 is: 1,497,250,075.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,119,260 : 701,978,516 = 701,978,516 : x
  2. Step 2: Convert to fraction form
    329,119,260/701,978,516 = 701,978,516/x
  3. Step 3: Cross multiply
    329,119,260x = 701,978,516 × 701,978,516
  4. Step 4: Simplify right side
    329,119,260x = 492,773,836,925,562,240
  5. Step 5: Solve for x
    x = 492,773,836,925,562,240/329,119,260
  6. Step 6: Final answer
    x = 1,497,250,075.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.