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Finding the Third Proportional to 415,541.75 and 909,903.75

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Solution

The third proportional to 415,541.75 and 909,903.75 is: 1,992,398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,541.75 : 909,903.75 = 909,903.75 : x
  2. Step 2: Convert to fraction form
    415,541.75/909,903.75 = 909,903.75/x
  3. Step 3: Cross multiply
    415,541.75x = 909,903.75 × 909,903.75
  4. Step 4: Simplify right side
    415,541.75x = 827,924,834,264.06
  5. Step 5: Solve for x
    x = 827,924,834,264.06/415,541.75
  6. Step 6: Final answer
    x = 1,992,398.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.