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Finding the Third Proportional to 334,065.75 and 537,867.75

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Solution

The third proportional to 334,065.75 and 537,867.75 is: 866,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,065.75 : 537,867.75 = 537,867.75 : x
  2. Step 2: Convert to fraction form
    334,065.75/537,867.75 = 537,867.75/x
  3. Step 3: Cross multiply
    334,065.75x = 537,867.75 × 537,867.75
  4. Step 4: Simplify right side
    334,065.75x = 289,301,716,490.06
  5. Step 5: Solve for x
    x = 289,301,716,490.06/334,065.75
  6. Step 6: Final answer
    x = 866,002.33

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.