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Finding the Third Proportional to 358,998 and 729,768

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Solution

The third proportional to 358,998 and 729,768 is: 1,483,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,998 : 729,768 = 729,768 : x
  2. Step 2: Convert to fraction form
    358,998/729,768 = 729,768/x
  3. Step 3: Cross multiply
    358,998x = 729,768 × 729,768
  4. Step 4: Simplify right side
    358,998x = 532,561,333,824
  5. Step 5: Solve for x
    x = 532,561,333,824/358,998
  6. Step 6: Final answer
    x = 1,483,466.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.