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Finding the Third Proportional to 415,428.75 and 894,412.13

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Solution

The third proportional to 415,428.75 and 894,412.13 is: 1,925,656.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,428.75 : 894,412.13 = 894,412.13 : x
  2. Step 2: Convert to fraction form
    415,428.75/894,412.13 = 894,412.13/x
  3. Step 3: Cross multiply
    415,428.75x = 894,412.13 × 894,412.13
  4. Step 4: Simplify right side
    415,428.75x = 799,973,049,347.02
  5. Step 5: Solve for x
    x = 799,973,049,347.02/415,428.75
  6. Step 6: Final answer
    x = 1,925,656.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.