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Finding the Third Proportional to 335,063 and 510,492

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Solution

The third proportional to 335,063 and 510,492 is: 777,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,063 : 510,492 = 510,492 : x
  2. Step 2: Convert to fraction form
    335,063/510,492 = 510,492/x
  3. Step 3: Cross multiply
    335,063x = 510,492 × 510,492
  4. Step 4: Simplify right side
    335,063x = 260,602,082,064
  5. Step 5: Solve for x
    x = 260,602,082,064/335,063
  6. Step 6: Final answer
    x = 777,770.40

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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.