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Finding the Third Proportional to 325,352 and 596,704

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Solution

The third proportional to 325,352 and 596,704 is: 1,094,370.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,352 : 596,704 = 596,704 : x
  2. Step 2: Convert to fraction form
    325,352/596,704 = 596,704/x
  3. Step 3: Cross multiply
    325,352x = 596,704 × 596,704
  4. Step 4: Simplify right side
    325,352x = 356,055,663,616
  5. Step 5: Solve for x
    x = 356,055,663,616/325,352
  6. Step 6: Final answer
    x = 1,094,370.60

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.