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Finding the Third Proportional to 369,939 and 553,896

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Solution

The third proportional to 369,939 and 553,896 is: 829,328.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,939 : 553,896 = 553,896 : x
  2. Step 2: Convert to fraction form
    369,939/553,896 = 553,896/x
  3. Step 3: Cross multiply
    369,939x = 553,896 × 553,896
  4. Step 4: Simplify right side
    369,939x = 306,800,778,816
  5. Step 5: Solve for x
    x = 306,800,778,816/369,939
  6. Step 6: Final answer
    x = 829,328.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.