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Finding the Third Proportional to 577,896 and 920,357

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Solution

The third proportional to 577,896 and 920,357 is: 1,465,760.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,896 : 920,357 = 920,357 : x
  2. Step 2: Convert to fraction form
    577,896/920,357 = 920,357/x
  3. Step 3: Cross multiply
    577,896x = 920,357 × 920,357
  4. Step 4: Simplify right side
    577,896x = 847,057,007,449
  5. Step 5: Solve for x
    x = 847,057,007,449/577,896
  6. Step 6: Final answer
    x = 1,465,760.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.