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Finding the Third Proportional to 490,953,289 and 735,711,768

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Solution

The third proportional to 490,953,289 and 735,711,768 is: 1,102,491,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,953,289 : 735,711,768 = 735,711,768 : x
  2. Step 2: Convert to fraction form
    490,953,289/735,711,768 = 735,711,768/x
  3. Step 3: Cross multiply
    490,953,289x = 735,711,768 × 735,711,768
  4. Step 4: Simplify right side
    490,953,289x = 541,271,805,573,685,824
  5. Step 5: Solve for x
    x = 541,271,805,573,685,824/490,953,289
  6. Step 6: Final answer
    x = 1,102,491,454.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.