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Finding the Third Proportional to 190,572 and 409,854

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Solution

The third proportional to 190,572 and 409,854 is: 881,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,572 : 409,854 = 409,854 : x
  2. Step 2: Convert to fraction form
    190,572/409,854 = 409,854/x
  3. Step 3: Cross multiply
    190,572x = 409,854 × 409,854
  4. Step 4: Simplify right side
    190,572x = 167,980,301,316
  5. Step 5: Solve for x
    x = 167,980,301,316/190,572
  6. Step 6: Final answer
    x = 881,453.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.