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Finding the Third Proportional to 334,621 and 509,773

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Solution

The third proportional to 334,621 and 509,773 is: 776,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,621 : 509,773 = 509,773 : x
  2. Step 2: Convert to fraction form
    334,621/509,773 = 509,773/x
  3. Step 3: Cross multiply
    334,621x = 509,773 × 509,773
  4. Step 4: Simplify right side
    334,621x = 259,868,511,529
  5. Step 5: Solve for x
    x = 259,868,511,529/334,621
  6. Step 6: Final answer
    x = 776,605.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.