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Finding the Third Proportional to 470,763 and 604,444.50

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Solution

The third proportional to 470,763 and 604,444.50 is: 776,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,763 : 604,444.50 = 604,444.50 : x
  2. Step 2: Convert to fraction form
    470,763/604,444.50 = 604,444.50/x
  3. Step 3: Cross multiply
    470,763x = 604,444.50 × 604,444.50
  4. Step 4: Simplify right side
    470,763x = 365,353,153,580.25
  5. Step 5: Solve for x
    x = 365,353,153,580.25/470,763
  6. Step 6: Final answer
    x = 776,087.23

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