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Finding the Third Proportional to 431,949.75 and 942,627.75

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Solution

The third proportional to 431,949.75 and 942,627.75 is: 2,057,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,949.75 : 942,627.75 = 942,627.75 : x
  2. Step 2: Convert to fraction form
    431,949.75/942,627.75 = 942,627.75/x
  3. Step 3: Cross multiply
    431,949.75x = 942,627.75 × 942,627.75
  4. Step 4: Simplify right side
    431,949.75x = 888,547,075,070.06
  5. Step 5: Solve for x
    x = 888,547,075,070.06/431,949.75
  6. Step 6: Final answer
    x = 2,057,061.21

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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.