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Finding the Third Proportional to 317,172,080 and 446,654,928

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Solution

The third proportional to 317,172,080 and 446,654,928 is: 628,998,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,172,080 : 446,654,928 = 446,654,928 : x
  2. Step 2: Convert to fraction form
    317,172,080/446,654,928 = 446,654,928/x
  3. Step 3: Cross multiply
    317,172,080x = 446,654,928 × 446,654,928
  4. Step 4: Simplify right side
    317,172,080x = 199,500,624,706,685,184
  5. Step 5: Solve for x
    x = 199,500,624,706,685,184/317,172,080
  6. Step 6: Final answer
    x = 628,998,065.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.