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Finding the Third Proportional to 523,126.13 and 740,427.75

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Solution

The third proportional to 523,126.13 and 740,427.75 is: 1,047,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,126.13 : 740,427.75 = 740,427.75 : x
  2. Step 2: Convert to fraction form
    523,126.13/740,427.75 = 740,427.75/x
  3. Step 3: Cross multiply
    523,126.13x = 740,427.75 × 740,427.75
  4. Step 4: Simplify right side
    523,126.13x = 548,233,252,970.06
  5. Step 5: Solve for x
    x = 548,233,252,970.06/523,126.13
  6. Step 6: Final answer
    x = 1,047,994.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.