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Finding the Third Proportional to 325,473 and 725,646

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Solution

The third proportional to 325,473 and 725,646 is: 1,617,836.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,473 : 725,646 = 725,646 : x
  2. Step 2: Convert to fraction form
    325,473/725,646 = 725,646/x
  3. Step 3: Cross multiply
    325,473x = 725,646 × 725,646
  4. Step 4: Simplify right side
    325,473x = 526,562,117,316
  5. Step 5: Solve for x
    x = 526,562,117,316/325,473
  6. Step 6: Final answer
    x = 1,617,836.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.