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Finding the Third Proportional to 415,066 and 608,827

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Solution

The third proportional to 415,066 and 608,827 is: 893,039.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,066 : 608,827 = 608,827 : x
  2. Step 2: Convert to fraction form
    415,066/608,827 = 608,827/x
  3. Step 3: Cross multiply
    415,066x = 608,827 × 608,827
  4. Step 4: Simplify right side
    415,066x = 370,670,315,929
  5. Step 5: Solve for x
    x = 370,670,315,929/415,066
  6. Step 6: Final answer
    x = 893,039.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.