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Finding the Third Proportional to 333,205 and 474,877.50

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Solution

The third proportional to 333,205 and 474,877.50 is: 676,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,205 : 474,877.50 = 474,877.50 : x
  2. Step 2: Convert to fraction form
    333,205/474,877.50 = 474,877.50/x
  3. Step 3: Cross multiply
    333,205x = 474,877.50 × 474,877.50
  4. Step 4: Simplify right side
    333,205x = 225,508,640,006.25
  5. Step 5: Solve for x
    x = 225,508,640,006.25/333,205
  6. Step 6: Final answer
    x = 676,786.48

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.