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Finding the Third Proportional to 319,506 and 514,734

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Solution

The third proportional to 319,506 and 514,734 is: 829,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,506 : 514,734 = 514,734 : x
  2. Step 2: Convert to fraction form
    319,506/514,734 = 514,734/x
  3. Step 3: Cross multiply
    319,506x = 514,734 × 514,734
  4. Step 4: Simplify right side
    319,506x = 264,951,090,756
  5. Step 5: Solve for x
    x = 264,951,090,756/319,506
  6. Step 6: Final answer
    x = 829,252.32

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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.