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Finding the Third Proportional to 296,670.94 and 459,087.75

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Solution

The third proportional to 296,670.94 and 459,087.75 is: 710,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,670.94 : 459,087.75 = 459,087.75 : x
  2. Step 2: Convert to fraction form
    296,670.94/459,087.75 = 459,087.75/x
  3. Step 3: Cross multiply
    296,670.94x = 459,087.75 × 459,087.75
  4. Step 4: Simplify right side
    296,670.94x = 210,761,562,200.06
  5. Step 5: Solve for x
    x = 210,761,562,200.06/296,670.94
  6. Step 6: Final answer
    x = 710,422.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.