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Finding the Third Proportional to 326,896,425 and 703,388,178

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Solution

The third proportional to 326,896,425 and 703,388,178 is: 1,513,491,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,896,425 : 703,388,178 = 703,388,178 : x
  2. Step 2: Convert to fraction form
    326,896,425/703,388,178 = 703,388,178/x
  3. Step 3: Cross multiply
    326,896,425x = 703,388,178 × 703,388,178
  4. Step 4: Simplify right side
    326,896,425x = 494,754,928,950,159,680
  5. Step 5: Solve for x
    x = 494,754,928,950,159,680/326,896,425
  6. Step 6: Final answer
    x = 1,513,491,403.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.