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Finding the Third Proportional to 395,412.19 and 818,862.19

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Solution

The third proportional to 395,412.19 and 818,862.19 is: 1,695,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,412.19 : 818,862.19 = 818,862.19 : x
  2. Step 2: Convert to fraction form
    395,412.19/818,862.19 = 818,862.19/x
  3. Step 3: Cross multiply
    395,412.19x = 818,862.19 × 818,862.19
  4. Step 4: Simplify right side
    395,412.19x = 670,535,282,117.29
  5. Step 5: Solve for x
    x = 670,535,282,117.29/395,412.19
  6. Step 6: Final answer
    x = 1,695,788.10

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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.