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Finding the Third Proportional to 300,642.75 and 483,547.50

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Solution

The third proportional to 300,642.75 and 483,547.50 is: 777,727.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,642.75 : 483,547.50 = 483,547.50 : x
  2. Step 2: Convert to fraction form
    300,642.75/483,547.50 = 483,547.50/x
  3. Step 3: Cross multiply
    300,642.75x = 483,547.50 × 483,547.50
  4. Step 4: Simplify right side
    300,642.75x = 233,818,184,756.25
  5. Step 5: Solve for x
    x = 233,818,184,756.25/300,642.75
  6. Step 6: Final answer
    x = 777,727.67

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.