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Finding the Third Proportional to 368,457.19 and 585,901.69

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Solution

The third proportional to 368,457.19 and 585,901.69 is: 931,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,457.19 : 585,901.69 = 585,901.69 : x
  2. Step 2: Convert to fraction form
    368,457.19/585,901.69 = 585,901.69/x
  3. Step 3: Cross multiply
    368,457.19x = 585,901.69 × 585,901.69
  4. Step 4: Simplify right side
    368,457.19x = 343,280,787,415.35
  5. Step 5: Solve for x
    x = 343,280,787,415.35/368,457.19
  6. Step 6: Final answer
    x = 931,670.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.