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Finding the Third Proportional to 306,780 and 470,881.50

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Solution

The third proportional to 306,780 and 470,881.50 is: 722,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,780 : 470,881.50 = 470,881.50 : x
  2. Step 2: Convert to fraction form
    306,780/470,881.50 = 470,881.50/x
  3. Step 3: Cross multiply
    306,780x = 470,881.50 × 470,881.50
  4. Step 4: Simplify right side
    306,780x = 221,729,387,042.25
  5. Step 5: Solve for x
    x = 221,729,387,042.25/306,780
  6. Step 6: Final answer
    x = 722,763.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.