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Finding the Third Proportional to 470,788.50 and 604,482.75

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Solution

The third proportional to 470,788.50 and 604,482.75 is: 776,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,788.50 : 604,482.75 = 604,482.75 : x
  2. Step 2: Convert to fraction form
    470,788.50/604,482.75 = 604,482.75/x
  3. Step 3: Cross multiply
    470,788.50x = 604,482.75 × 604,482.75
  4. Step 4: Simplify right side
    470,788.50x = 365,399,395,047.56
  5. Step 5: Solve for x
    x = 365,399,395,047.56/470,788.50
  6. Step 6: Final answer
    x = 776,143.42

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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.