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Finding the Third Proportional to 265,465 and 562,022

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Solution

The third proportional to 265,465 and 562,022 is: 1,189,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,465 : 562,022 = 562,022 : x
  2. Step 2: Convert to fraction form
    265,465/562,022 = 562,022/x
  3. Step 3: Cross multiply
    265,465x = 562,022 × 562,022
  4. Step 4: Simplify right side
    265,465x = 315,868,728,484
  5. Step 5: Solve for x
    x = 315,868,728,484/265,465
  6. Step 6: Final answer
    x = 1,189,869.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.