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Finding the Third Proportional to 258,009 and 607,071

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Solution

The third proportional to 258,009 and 607,071 is: 1,428,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,009 : 607,071 = 607,071 : x
  2. Step 2: Convert to fraction form
    258,009/607,071 = 607,071/x
  3. Step 3: Cross multiply
    258,009x = 607,071 × 607,071
  4. Step 4: Simplify right side
    258,009x = 368,535,199,041
  5. Step 5: Solve for x
    x = 368,535,199,041/258,009
  6. Step 6: Final answer
    x = 1,428,381.18

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.