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Finding the Third Proportional to 265,574 and 622,139

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Solution

The third proportional to 265,574 and 622,139 is: 1,457,435.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,574 : 622,139 = 622,139 : x
  2. Step 2: Convert to fraction form
    265,574/622,139 = 622,139/x
  3. Step 3: Cross multiply
    265,574x = 622,139 × 622,139
  4. Step 4: Simplify right side
    265,574x = 387,056,935,321
  5. Step 5: Solve for x
    x = 387,056,935,321/265,574
  6. Step 6: Final answer
    x = 1,457,435.35

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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.