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Finding the Third Proportional to 255,702 and 383,553

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Solution

The third proportional to 255,702 and 383,553 is: 575,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,702 : 383,553 = 383,553 : x
  2. Step 2: Convert to fraction form
    255,702/383,553 = 383,553/x
  3. Step 3: Cross multiply
    255,702x = 383,553 × 383,553
  4. Step 4: Simplify right side
    255,702x = 147,112,903,809
  5. Step 5: Solve for x
    x = 147,112,903,809/255,702
  6. Step 6: Final answer
    x = 575,329.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.