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Finding the Third Proportional to 390,413.67 and 590,541.26

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Solution

The third proportional to 390,413.67 and 590,541.26 is: 893,255.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,413.67 : 590,541.26 = 590,541.26 : x
  2. Step 2: Convert to fraction form
    390,413.67/590,541.26 = 590,541.26/x
  3. Step 3: Cross multiply
    390,413.67x = 590,541.26 × 590,541.26
  4. Step 4: Simplify right side
    390,413.67x = 348,738,977,178.77
  5. Step 5: Solve for x
    x = 348,738,977,178.77/390,413.67
  6. Step 6: Final answer
    x = 893,255.03

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.