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Finding the Third Proportional to 469,384.88 and 706,264.31

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Solution

The third proportional to 469,384.88 and 706,264.31 is: 1,062,687.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,384.88 : 706,264.31 = 706,264.31 : x
  2. Step 2: Convert to fraction form
    469,384.88/706,264.31 = 706,264.31/x
  3. Step 3: Cross multiply
    469,384.88x = 706,264.31 × 706,264.31
  4. Step 4: Simplify right side
    469,384.88x = 498,809,279,111.10
  5. Step 5: Solve for x
    x = 498,809,279,111.10/469,384.88
  6. Step 6: Final answer
    x = 1,062,687.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.