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Finding the Third Proportional to 644,010.75 and 946,316.25

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Solution

The third proportional to 644,010.75 and 946,316.25 is: 1,390,527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,010.75 : 946,316.25 = 946,316.25 : x
  2. Step 2: Convert to fraction form
    644,010.75/946,316.25 = 946,316.25/x
  3. Step 3: Cross multiply
    644,010.75x = 946,316.25 × 946,316.25
  4. Step 4: Simplify right side
    644,010.75x = 895,514,445,014.06
  5. Step 5: Solve for x
    x = 895,514,445,014.06/644,010.75
  6. Step 6: Final answer
    x = 1,390,527.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.