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Finding the Third Proportional to 335,047 and 722,581

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Solution

The third proportional to 335,047 and 722,581 is: 1,558,358.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,047 : 722,581 = 722,581 : x
  2. Step 2: Convert to fraction form
    335,047/722,581 = 722,581/x
  3. Step 3: Cross multiply
    335,047x = 722,581 × 722,581
  4. Step 4: Simplify right side
    335,047x = 522,123,301,561
  5. Step 5: Solve for x
    x = 522,123,301,561/335,047
  6. Step 6: Final answer
    x = 1,558,358.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.