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Finding the Third Proportional to 200,620 and 294,778

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Solution

The third proportional to 200,620 and 294,778 is: 433,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,620 : 294,778 = 294,778 : x
  2. Step 2: Convert to fraction form
    200,620/294,778 = 294,778/x
  3. Step 3: Cross multiply
    200,620x = 294,778 × 294,778
  4. Step 4: Simplify right side
    200,620x = 86,894,069,284
  5. Step 5: Solve for x
    x = 86,894,069,284/200,620
  6. Step 6: Final answer
    x = 433,127.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.