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Finding the Third Proportional to 305,205.50 and 662,952

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Solution

The third proportional to 305,205.50 and 662,952 is: 1,440,030.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,205.50 : 662,952 = 662,952 : x
  2. Step 2: Convert to fraction form
    305,205.50/662,952 = 662,952/x
  3. Step 3: Cross multiply
    305,205.50x = 662,952 × 662,952
  4. Step 4: Simplify right side
    305,205.50x = 439,505,354,304
  5. Step 5: Solve for x
    x = 439,505,354,304/305,205.50
  6. Step 6: Final answer
    x = 1,440,030.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.