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Finding the Third Proportional to 357,027.75 and 489,569.06

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Solution

The third proportional to 357,027.75 and 489,569.06 is: 671,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,027.75 : 489,569.06 = 489,569.06 : x
  2. Step 2: Convert to fraction form
    357,027.75/489,569.06 = 489,569.06/x
  3. Step 3: Cross multiply
    357,027.75x = 489,569.06 × 489,569.06
  4. Step 4: Simplify right side
    357,027.75x = 239,677,866,957.13
  5. Step 5: Solve for x
    x = 239,677,866,957.13/357,027.75
  6. Step 6: Final answer
    x = 671,314.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.