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Finding the Third Proportional to 602,048.64 and 825,571.14

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Solution

The third proportional to 602,048.64 and 825,571.14 is: 1,132,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,048.64 : 825,571.14 = 825,571.14 : x
  2. Step 2: Convert to fraction form
    602,048.64/825,571.14 = 825,571.14/x
  3. Step 3: Cross multiply
    602,048.64x = 825,571.14 × 825,571.14
  4. Step 4: Simplify right side
    602,048.64x = 681,567,711,457.71
  5. Step 5: Solve for x
    x = 681,567,711,457.71/602,048.64
  6. Step 6: Final answer
    x = 1,132,080.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.