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Finding the Third Proportional to 596,176.31 and 1,292,316.75

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Solution

The third proportional to 596,176.31 and 1,292,316.75 is: 2,801,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,176.31 : 1,292,316.75 = 1,292,316.75 : x
  2. Step 2: Convert to fraction form
    596,176.31/1,292,316.75 = 1,292,316.75/x
  3. Step 3: Cross multiply
    596,176.31x = 1,292,316.75 × 1,292,316.75
  4. Step 4: Simplify right side
    596,176.31x = 1,670,082,582,330.56
  5. Step 5: Solve for x
    x = 1,670,082,582,330.56/596,176.31
  6. Step 6: Final answer
    x = 2,801,323.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.