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Finding the Third Proportional to 295,584 and 612,192

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Solution

The third proportional to 295,584 and 612,192 is: 1,267,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,584 : 612,192 = 612,192 : x
  2. Step 2: Convert to fraction form
    295,584/612,192 = 612,192/x
  3. Step 3: Cross multiply
    295,584x = 612,192 × 612,192
  4. Step 4: Simplify right side
    295,584x = 374,779,044,864
  5. Step 5: Solve for x
    x = 374,779,044,864/295,584
  6. Step 6: Final answer
    x = 1,267,927.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.