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Finding the Third Proportional to 477,178.31 and 1,038,317.06

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Solution

The third proportional to 477,178.31 and 1,038,317.06 is: 2,259,328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,178.31 : 1,038,317.06 = 1,038,317.06 : x
  2. Step 2: Convert to fraction form
    477,178.31/1,038,317.06 = 1,038,317.06/x
  3. Step 3: Cross multiply
    477,178.31x = 1,038,317.06 × 1,038,317.06
  4. Step 4: Simplify right side
    477,178.31x = 1,078,102,322,278.63
  5. Step 5: Solve for x
    x = 1,078,102,322,278.63/477,178.31
  6. Step 6: Final answer
    x = 2,259,328.00

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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.