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Finding the Third Proportional to 409,047 and 955,363.50

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Solution

The third proportional to 409,047 and 955,363.50 is: 2,231,331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,047 : 955,363.50 = 955,363.50 : x
  2. Step 2: Convert to fraction form
    409,047/955,363.50 = 955,363.50/x
  3. Step 3: Cross multiply
    409,047x = 955,363.50 × 955,363.50
  4. Step 4: Simplify right side
    409,047x = 912,719,417,132.25
  5. Step 5: Solve for x
    x = 912,719,417,132.25/409,047
  6. Step 6: Final answer
    x = 2,231,331.40

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.