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Finding the Third Proportional to 602,270 and 825,844

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Solution

The third proportional to 602,270 and 825,844 is: 1,132,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,270 : 825,844 = 825,844 : x
  2. Step 2: Convert to fraction form
    602,270/825,844 = 825,844/x
  3. Step 3: Cross multiply
    602,270x = 825,844 × 825,844
  4. Step 4: Simplify right side
    602,270x = 682,018,312,336
  5. Step 5: Solve for x
    x = 682,018,312,336/602,270
  6. Step 6: Final answer
    x = 1,132,412.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.