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Finding the Third Proportional to 238,590 and 514,560

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Solution

The third proportional to 238,590 and 514,560 is: 1,109,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,590 : 514,560 = 514,560 : x
  2. Step 2: Convert to fraction form
    238,590/514,560 = 514,560/x
  3. Step 3: Cross multiply
    238,590x = 514,560 × 514,560
  4. Step 4: Simplify right side
    238,590x = 264,771,993,600
  5. Step 5: Solve for x
    x = 264,771,993,600/238,590
  6. Step 6: Final answer
    x = 1,109,736.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.