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Finding the Third Proportional to 298,301,196 and 703,178,856

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Solution

The third proportional to 298,301,196 and 703,178,856 is: 1,657,588,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,301,196 : 703,178,856 = 703,178,856 : x
  2. Step 2: Convert to fraction form
    298,301,196/703,178,856 = 703,178,856/x
  3. Step 3: Cross multiply
    298,301,196x = 703,178,856 × 703,178,856
  4. Step 4: Simplify right side
    298,301,196x = 494,460,503,525,468,736
  5. Step 5: Solve for x
    x = 494,460,503,525,468,736/298,301,196
  6. Step 6: Final answer
    x = 1,657,588,069.23

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.