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Finding the Third Proportional to 405,882 and 880,927.50

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Solution

The third proportional to 405,882 and 880,927.50 is: 1,911,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,882 : 880,927.50 = 880,927.50 : x
  2. Step 2: Convert to fraction form
    405,882/880,927.50 = 880,927.50/x
  3. Step 3: Cross multiply
    405,882x = 880,927.50 × 880,927.50
  4. Step 4: Simplify right side
    405,882x = 776,033,260,256.25
  5. Step 5: Solve for x
    x = 776,033,260,256.25/405,882
  6. Step 6: Final answer
    x = 1,911,967.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.