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Finding the Third Proportional to 482,811 and 709,438.50

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Solution

The third proportional to 482,811 and 709,438.50 is: 1,042,443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,811 : 709,438.50 = 709,438.50 : x
  2. Step 2: Convert to fraction form
    482,811/709,438.50 = 709,438.50/x
  3. Step 3: Cross multiply
    482,811x = 709,438.50 × 709,438.50
  4. Step 4: Simplify right side
    482,811x = 503,302,985,282.25
  5. Step 5: Solve for x
    x = 503,302,985,282.25/482,811
  6. Step 6: Final answer
    x = 1,042,443.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.