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Finding the Third Proportional to 242,258 and 565,855

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Solution

The third proportional to 242,258 and 565,855 is: 1,321,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,258 : 565,855 = 565,855 : x
  2. Step 2: Convert to fraction form
    242,258/565,855 = 565,855/x
  3. Step 3: Cross multiply
    242,258x = 565,855 × 565,855
  4. Step 4: Simplify right side
    242,258x = 320,191,881,025
  5. Step 5: Solve for x
    x = 320,191,881,025/242,258
  6. Step 6: Final answer
    x = 1,321,697.86

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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.