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Finding the Third Proportional to 507,306 and 1,199,732

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Solution

The third proportional to 507,306 and 1,199,732 is: 2,837,255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,306 : 1,199,732 = 1,199,732 : x
  2. Step 2: Convert to fraction form
    507,306/1,199,732 = 1,199,732/x
  3. Step 3: Cross multiply
    507,306x = 1,199,732 × 1,199,732
  4. Step 4: Simplify right side
    507,306x = 1,439,356,871,824
  5. Step 5: Solve for x
    x = 1,439,356,871,824/507,306
  6. Step 6: Final answer
    x = 2,837,255.76

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.