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Finding the Third Proportional to 325,068,698 and 694,223,428

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Solution

The third proportional to 325,068,698 and 694,223,428 is: 1,482,597,896.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,068,698 : 694,223,428 = 694,223,428 : x
  2. Step 2: Convert to fraction form
    325,068,698/694,223,428 = 694,223,428/x
  3. Step 3: Cross multiply
    325,068,698x = 694,223,428 × 694,223,428
  4. Step 4: Simplify right side
    325,068,698x = 481,946,167,984,071,168
  5. Step 5: Solve for x
    x = 481,946,167,984,071,168/325,068,698
  6. Step 6: Final answer
    x = 1,482,597,896.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.