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Finding the Third Proportional to 306,263,338 and 470,748,695

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Solution

The third proportional to 306,263,338 and 470,748,695 is: 723,574,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,263,338 : 470,748,695 = 470,748,695 : x
  2. Step 2: Convert to fraction form
    306,263,338/470,748,695 = 470,748,695/x
  3. Step 3: Cross multiply
    306,263,338x = 470,748,695 × 470,748,695
  4. Step 4: Simplify right side
    306,263,338x = 221,604,333,844,203,040
  5. Step 5: Solve for x
    x = 221,604,333,844,203,040/306,263,338
  6. Step 6: Final answer
    x = 723,574,474.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.