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Finding the Third Proportional to 469,957.78 and 705,969.84

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Solution

The third proportional to 469,957.78 and 705,969.84 is: 1,060,506.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,957.78 : 705,969.84 = 705,969.84 : x
  2. Step 2: Convert to fraction form
    469,957.78/705,969.84 = 705,969.84/x
  3. Step 3: Cross multiply
    469,957.78x = 705,969.84 × 705,969.84
  4. Step 4: Simplify right side
    469,957.78x = 498,393,420,284.40
  5. Step 5: Solve for x
    x = 498,393,420,284.40/469,957.78
  6. Step 6: Final answer
    x = 1,060,506.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.