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Finding the Third Proportional to 244,723.50 and 502,623

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Solution

The third proportional to 244,723.50 and 502,623 is: 1,032,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,723.50 : 502,623 = 502,623 : x
  2. Step 2: Convert to fraction form
    244,723.50/502,623 = 502,623/x
  3. Step 3: Cross multiply
    244,723.50x = 502,623 × 502,623
  4. Step 4: Simplify right side
    244,723.50x = 252,629,880,129
  5. Step 5: Solve for x
    x = 252,629,880,129/244,723.50
  6. Step 6: Final answer
    x = 1,032,307.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.