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Finding the Third Proportional to 314,621,742 and 476,304,345

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Solution

The third proportional to 314,621,742 and 476,304,345 is: 721,074,861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,621,742 : 476,304,345 = 476,304,345 : x
  2. Step 2: Convert to fraction form
    314,621,742/476,304,345 = 476,304,345/x
  3. Step 3: Cross multiply
    314,621,742x = 476,304,345 × 476,304,345
  4. Step 4: Simplify right side
    314,621,742x = 226,865,829,065,879,040
  5. Step 5: Solve for x
    x = 226,865,829,065,879,040/314,621,742
  6. Step 6: Final answer
    x = 721,074,861.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.