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Finding the Third Proportional to 282,258 and 610,020

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Solution

The third proportional to 282,258 and 610,020 is: 1,318,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,258 : 610,020 = 610,020 : x
  2. Step 2: Convert to fraction form
    282,258/610,020 = 610,020/x
  3. Step 3: Cross multiply
    282,258x = 610,020 × 610,020
  4. Step 4: Simplify right side
    282,258x = 372,124,400,400
  5. Step 5: Solve for x
    x = 372,124,400,400/282,258
  6. Step 6: Final answer
    x = 1,318,383.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.