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Finding the Third Proportional to 478,948 and 751,326

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Solution

The third proportional to 478,948 and 751,326 is: 1,178,605.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,948 : 751,326 = 751,326 : x
  2. Step 2: Convert to fraction form
    478,948/751,326 = 751,326/x
  3. Step 3: Cross multiply
    478,948x = 751,326 × 751,326
  4. Step 4: Simplify right side
    478,948x = 564,490,758,276
  5. Step 5: Solve for x
    x = 564,490,758,276/478,948
  6. Step 6: Final answer
    x = 1,178,605.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.