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Finding the Third Proportional to 329,958 and 514,656

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Solution

The third proportional to 329,958 and 514,656 is: 802,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,958 : 514,656 = 514,656 : x
  2. Step 2: Convert to fraction form
    329,958/514,656 = 514,656/x
  3. Step 3: Cross multiply
    329,958x = 514,656 × 514,656
  4. Step 4: Simplify right side
    329,958x = 264,870,798,336
  5. Step 5: Solve for x
    x = 264,870,798,336/329,958
  6. Step 6: Final answer
    x = 802,740.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.