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Finding the Third Proportional to 242,402 and 566,152

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Solution

The third proportional to 242,402 and 566,152 is: 1,322,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,402 : 566,152 = 566,152 : x
  2. Step 2: Convert to fraction form
    242,402/566,152 = 566,152/x
  3. Step 3: Cross multiply
    242,402x = 566,152 × 566,152
  4. Step 4: Simplify right side
    242,402x = 320,528,087,104
  5. Step 5: Solve for x
    x = 320,528,087,104/242,402
  6. Step 6: Final answer
    x = 1,322,299.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.