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Finding the Third Proportional to 284,101.88 and 631,265.63

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Solution

The third proportional to 284,101.88 and 631,265.63 is: 1,402,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,101.88 : 631,265.63 = 631,265.63 : x
  2. Step 2: Convert to fraction form
    284,101.88/631,265.63 = 631,265.63/x
  3. Step 3: Cross multiply
    284,101.88x = 631,265.63 × 631,265.63
  4. Step 4: Simplify right side
    284,101.88x = 398,496,289,306.64
  5. Step 5: Solve for x
    x = 398,496,289,306.64/284,101.88
  6. Step 6: Final answer
    x = 1,402,652.80

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.