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Finding the Third Proportional to 303,315 and 470,959.50

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Solution

The third proportional to 303,315 and 470,959.50 is: 731,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,315 : 470,959.50 = 470,959.50 : x
  2. Step 2: Convert to fraction form
    303,315/470,959.50 = 470,959.50/x
  3. Step 3: Cross multiply
    303,315x = 470,959.50 × 470,959.50
  4. Step 4: Simplify right side
    303,315x = 221,802,850,640.25
  5. Step 5: Solve for x
    x = 221,802,850,640.25/303,315
  6. Step 6: Final answer
    x = 731,262.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.