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Finding the Third Proportional to 470,773.50 and 604,460.25

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Solution

The third proportional to 470,773.50 and 604,460.25 is: 776,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,773.50 : 604,460.25 = 604,460.25 : x
  2. Step 2: Convert to fraction form
    470,773.50/604,460.25 = 604,460.25/x
  3. Step 3: Cross multiply
    470,773.50x = 604,460.25 × 604,460.25
  4. Step 4: Simplify right side
    470,773.50x = 365,372,193,830.06
  5. Step 5: Solve for x
    x = 365,372,193,830.06/470,773.50
  6. Step 6: Final answer
    x = 776,110.37

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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.