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Finding the Third Proportional to 282,793 and 606,066

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Solution

The third proportional to 282,793 and 606,066 is: 1,298,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,793 : 606,066 = 606,066 : x
  2. Step 2: Convert to fraction form
    282,793/606,066 = 606,066/x
  3. Step 3: Cross multiply
    282,793x = 606,066 × 606,066
  4. Step 4: Simplify right side
    282,793x = 367,315,996,356
  5. Step 5: Solve for x
    x = 367,315,996,356/282,793
  6. Step 6: Final answer
    x = 1,298,886.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.