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Finding the Third Proportional to 761,300.25 and 1,071,134.51

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Solution

The third proportional to 761,300.25 and 1,071,134.51 is: 1,507,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,300.25 : 1,071,134.51 = 1,071,134.51 : x
  2. Step 2: Convert to fraction form
    761,300.25/1,071,134.51 = 1,071,134.51/x
  3. Step 3: Cross multiply
    761,300.25x = 1,071,134.51 × 1,071,134.51
  4. Step 4: Simplify right side
    761,300.25x = 1,147,329,133,826.73
  5. Step 5: Solve for x
    x = 1,147,329,133,826.73/761,300.25
  6. Step 6: Final answer
    x = 1,507,065.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.