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Finding the Third Proportional to 283,575 and 623,058

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Solution

The third proportional to 283,575 and 623,058 is: 1,368,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,575 : 623,058 = 623,058 : x
  2. Step 2: Convert to fraction form
    283,575/623,058 = 623,058/x
  3. Step 3: Cross multiply
    283,575x = 623,058 × 623,058
  4. Step 4: Simplify right side
    283,575x = 388,201,271,364
  5. Step 5: Solve for x
    x = 388,201,271,364/283,575
  6. Step 6: Final answer
    x = 1,368,954.50

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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.