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Finding the Third Proportional to 284,218.88 and 621,897.75

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Solution

The third proportional to 284,218.88 and 621,897.75 is: 1,360,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,218.88 : 621,897.75 = 621,897.75 : x
  2. Step 2: Convert to fraction form
    284,218.88/621,897.75 = 621,897.75/x
  3. Step 3: Cross multiply
    284,218.88x = 621,897.75 × 621,897.75
  4. Step 4: Simplify right side
    284,218.88x = 386,756,811,455.06
  5. Step 5: Solve for x
    x = 386,756,811,455.06/284,218.88
  6. Step 6: Final answer
    x = 1,360,771.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.