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Finding the Third Proportional to 570,303 and 797,326

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Solution

The third proportional to 570,303 and 797,326 is: 1,114,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,303 : 797,326 = 797,326 : x
  2. Step 2: Convert to fraction form
    570,303/797,326 = 797,326/x
  3. Step 3: Cross multiply
    570,303x = 797,326 × 797,326
  4. Step 4: Simplify right side
    570,303x = 635,728,750,276
  5. Step 5: Solve for x
    x = 635,728,750,276/570,303
  6. Step 6: Final answer
    x = 1,114,721.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.