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Finding the Third Proportional to 334,368.50 and 518,319.75

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Solution

The third proportional to 334,368.50 and 518,319.75 is: 803,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,368.50 : 518,319.75 = 518,319.75 : x
  2. Step 2: Convert to fraction form
    334,368.50/518,319.75 = 518,319.75/x
  3. Step 3: Cross multiply
    334,368.50x = 518,319.75 × 518,319.75
  4. Step 4: Simplify right side
    334,368.50x = 268,655,363,240.06
  5. Step 5: Solve for x
    x = 268,655,363,240.06/334,368.50
  6. Step 6: Final answer
    x = 803,470.91

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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.