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Finding the Third Proportional to 306,263,724 and 470,749,336

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Solution

The third proportional to 306,263,724 and 470,749,336 is: 723,575,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,263,724 : 470,749,336 = 470,749,336 : x
  2. Step 2: Convert to fraction form
    306,263,724/470,749,336 = 470,749,336/x
  3. Step 3: Cross multiply
    306,263,724x = 470,749,336 × 470,749,336
  4. Step 4: Simplify right side
    306,263,724x = 221,604,937,344,440,896
  5. Step 5: Solve for x
    x = 221,604,937,344,440,896/306,263,724
  6. Step 6: Final answer
    x = 723,575,533.04

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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.