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Finding the Third Proportional to 402,247.13 and 596,413.13

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Solution

The third proportional to 402,247.13 and 596,413.13 is: 884,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,247.13 : 596,413.13 = 596,413.13 : x
  2. Step 2: Convert to fraction form
    402,247.13/596,413.13 = 596,413.13/x
  3. Step 3: Cross multiply
    402,247.13x = 596,413.13 × 596,413.13
  4. Step 4: Simplify right side
    402,247.13x = 355,708,615,672.27
  5. Step 5: Solve for x
    x = 355,708,615,672.27/402,247.13
  6. Step 6: Final answer
    x = 884,303.69

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.