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Finding the Third Proportional to 656,434.13 and 961,232.06

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Solution

The third proportional to 656,434.13 and 961,232.06 is: 1,407,554.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,434.13 : 961,232.06 = 961,232.06 : x
  2. Step 2: Convert to fraction form
    656,434.13/961,232.06 = 961,232.06/x
  3. Step 3: Cross multiply
    656,434.13x = 961,232.06 × 961,232.06
  4. Step 4: Simplify right side
    656,434.13x = 923,967,077,978.00
  5. Step 5: Solve for x
    x = 923,967,077,978.00/656,434.13
  6. Step 6: Final answer
    x = 1,407,554.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.