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Finding the Third Proportional to 233,590 and 360,892

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Solution

The third proportional to 233,590 and 360,892 is: 557,571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,590 : 360,892 = 360,892 : x
  2. Step 2: Convert to fraction form
    233,590/360,892 = 360,892/x
  3. Step 3: Cross multiply
    233,590x = 360,892 × 360,892
  4. Step 4: Simplify right side
    233,590x = 130,243,035,664
  5. Step 5: Solve for x
    x = 130,243,035,664/233,590
  6. Step 6: Final answer
    x = 557,571.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.