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Finding the Third Proportional to 258,861 and 604,594.50

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Solution

The third proportional to 258,861 and 604,594.50 is: 1,412,087.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,861 : 604,594.50 = 604,594.50 : x
  2. Step 2: Convert to fraction form
    258,861/604,594.50 = 604,594.50/x
  3. Step 3: Cross multiply
    258,861x = 604,594.50 × 604,594.50
  4. Step 4: Simplify right side
    258,861x = 365,534,509,430.25
  5. Step 5: Solve for x
    x = 365,534,509,430.25/258,861
  6. Step 6: Final answer
    x = 1,412,087.99

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.