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Finding the Third Proportional to 597,520 and 896,929

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Solution

The third proportional to 597,520 and 896,929 is: 1,346,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,520 : 896,929 = 896,929 : x
  2. Step 2: Convert to fraction form
    597,520/896,929 = 896,929/x
  3. Step 3: Cross multiply
    597,520x = 896,929 × 896,929
  4. Step 4: Simplify right side
    597,520x = 804,481,631,041
  5. Step 5: Solve for x
    x = 804,481,631,041/597,520
  6. Step 6: Final answer
    x = 1,346,367.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.