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Finding the Third Proportional to 482,899.50 and 953,637.75

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Solution

The third proportional to 482,899.50 and 953,637.75 is: 1,883,259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,899.50 : 953,637.75 = 953,637.75 : x
  2. Step 2: Convert to fraction form
    482,899.50/953,637.75 = 953,637.75/x
  3. Step 3: Cross multiply
    482,899.50x = 953,637.75 × 953,637.75
  4. Step 4: Simplify right side
    482,899.50x = 909,424,958,225.06
  5. Step 5: Solve for x
    x = 909,424,958,225.06/482,899.50
  6. Step 6: Final answer
    x = 1,883,259.27

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.