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Finding the Third Proportional to 331,594 and 725,396

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Solution

The third proportional to 331,594 and 725,396 is: 1,586,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,594 : 725,396 = 725,396 : x
  2. Step 2: Convert to fraction form
    331,594/725,396 = 725,396/x
  3. Step 3: Cross multiply
    331,594x = 725,396 × 725,396
  4. Step 4: Simplify right side
    331,594x = 526,199,356,816
  5. Step 5: Solve for x
    x = 526,199,356,816/331,594
  6. Step 6: Final answer
    x = 1,586,878.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.