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Finding the Third Proportional to 470,766.94 and 604,454.91

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Solution

The third proportional to 470,766.94 and 604,454.91 is: 776,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,766.94 : 604,454.91 = 604,454.91 : x
  2. Step 2: Convert to fraction form
    470,766.94/604,454.91 = 604,454.91/x
  3. Step 3: Cross multiply
    470,766.94x = 604,454.91 × 604,454.91
  4. Step 4: Simplify right side
    470,766.94x = 365,365,733,689.70
  5. Step 5: Solve for x
    x = 365,365,733,689.70/470,766.94
  6. Step 6: Final answer
    x = 776,107.46

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.