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Finding the Third Proportional to 262,935 and 570,582

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Solution

The third proportional to 262,935 and 570,582 is: 1,238,191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,935 : 570,582 = 570,582 : x
  2. Step 2: Convert to fraction form
    262,935/570,582 = 570,582/x
  3. Step 3: Cross multiply
    262,935x = 570,582 × 570,582
  4. Step 4: Simplify right side
    262,935x = 325,563,818,724
  5. Step 5: Solve for x
    x = 325,563,818,724/262,935
  6. Step 6: Final answer
    x = 1,238,191.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.