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Finding the Third Proportional to 258,362 and 557,476

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Solution

The third proportional to 258,362 and 557,476 is: 1,202,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,362 : 557,476 = 557,476 : x
  2. Step 2: Convert to fraction form
    258,362/557,476 = 557,476/x
  3. Step 3: Cross multiply
    258,362x = 557,476 × 557,476
  4. Step 4: Simplify right side
    258,362x = 310,779,490,576
  5. Step 5: Solve for x
    x = 310,779,490,576/258,362
  6. Step 6: Final answer
    x = 1,202,883.90

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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.