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Finding the Third Proportional to 304,194 and 710,725

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Solution

The third proportional to 304,194 and 710,725 is: 1,660,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,194 : 710,725 = 710,725 : x
  2. Step 2: Convert to fraction form
    304,194/710,725 = 710,725/x
  3. Step 3: Cross multiply
    304,194x = 710,725 × 710,725
  4. Step 4: Simplify right side
    304,194x = 505,130,025,625
  5. Step 5: Solve for x
    x = 505,130,025,625/304,194
  6. Step 6: Final answer
    x = 1,660,552.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.