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Finding the Third Proportional to 370,413.75 and 553,182.75

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Solution

The third proportional to 370,413.75 and 553,182.75 is: 826,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,413.75 : 553,182.75 = 553,182.75 : x
  2. Step 2: Convert to fraction form
    370,413.75/553,182.75 = 553,182.75/x
  3. Step 3: Cross multiply
    370,413.75x = 553,182.75 × 553,182.75
  4. Step 4: Simplify right side
    370,413.75x = 306,011,154,897.56
  5. Step 5: Solve for x
    x = 306,011,154,897.56/370,413.75
  6. Step 6: Final answer
    x = 826,133.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.