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Finding the Third Proportional to 460,388.25 and 710,265.38

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Solution

The third proportional to 460,388.25 and 710,265.38 is: 1,095,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,388.25 : 710,265.38 = 710,265.38 : x
  2. Step 2: Convert to fraction form
    460,388.25/710,265.38 = 710,265.38/x
  3. Step 3: Cross multiply
    460,388.25x = 710,265.38 × 710,265.38
  4. Step 4: Simplify right side
    460,388.25x = 504,476,902,923.89
  5. Step 5: Solve for x
    x = 504,476,902,923.89/460,388.25
  6. Step 6: Final answer
    x = 1,095,764.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.