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Finding the Third Proportional to 283,580 and 623,066

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Solution

The third proportional to 283,580 and 623,066 is: 1,368,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,580 : 623,066 = 623,066 : x
  2. Step 2: Convert to fraction form
    283,580/623,066 = 623,066/x
  3. Step 3: Cross multiply
    283,580x = 623,066 × 623,066
  4. Step 4: Simplify right side
    283,580x = 388,211,240,356
  5. Step 5: Solve for x
    x = 388,211,240,356/283,580
  6. Step 6: Final answer
    x = 1,368,965.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.