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Finding the Third Proportional to 597,952.75 and 919,071.75

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Solution

The third proportional to 597,952.75 and 919,071.75 is: 1,412,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,952.75 : 919,071.75 = 919,071.75 : x
  2. Step 2: Convert to fraction form
    597,952.75/919,071.75 = 919,071.75/x
  3. Step 3: Cross multiply
    597,952.75x = 919,071.75 × 919,071.75
  4. Step 4: Simplify right side
    597,952.75x = 844,692,881,648.06
  5. Step 5: Solve for x
    x = 844,692,881,648.06/597,952.75
  6. Step 6: Final answer
    x = 1,412,641.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.