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Finding the Third Proportional to 474,150 and 708,415.50

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Solution

The third proportional to 474,150 and 708,415.50 is: 1,058,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,150 : 708,415.50 = 708,415.50 : x
  2. Step 2: Convert to fraction form
    474,150/708,415.50 = 708,415.50/x
  3. Step 3: Cross multiply
    474,150x = 708,415.50 × 708,415.50
  4. Step 4: Simplify right side
    474,150x = 501,852,520,640.25
  5. Step 5: Solve for x
    x = 501,852,520,640.25/474,150
  6. Step 6: Final answer
    x = 1,058,425.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.