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Finding the Third Proportional to 424,075.50 and 923,055.75

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Solution

The third proportional to 424,075.50 and 923,055.75 is: 2,009,151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,075.50 : 923,055.75 = 923,055.75 : x
  2. Step 2: Convert to fraction form
    424,075.50/923,055.75 = 923,055.75/x
  3. Step 3: Cross multiply
    424,075.50x = 923,055.75 × 923,055.75
  4. Step 4: Simplify right side
    424,075.50x = 852,031,917,608.06
  5. Step 5: Solve for x
    x = 852,031,917,608.06/424,075.50
  6. Step 6: Final answer
    x = 2,009,151.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.