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Finding the Third Proportional to 306,263,724 and 470,749,340

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Solution

The third proportional to 306,263,724 and 470,749,340 is: 723,575,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,263,724 : 470,749,340 = 470,749,340 : x
  2. Step 2: Convert to fraction form
    306,263,724/470,749,340 = 470,749,340/x
  3. Step 3: Cross multiply
    306,263,724x = 470,749,340 × 470,749,340
  4. Step 4: Simplify right side
    306,263,724x = 221,604,941,110,435,584
  5. Step 5: Solve for x
    x = 221,604,941,110,435,584/306,263,724
  6. Step 6: Final answer
    x = 723,575,545.34

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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.