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Finding the Third Proportional to 335,065 and 510,495

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Solution

The third proportional to 335,065 and 510,495 is: 777,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,065 : 510,495 = 510,495 : x
  2. Step 2: Convert to fraction form
    335,065/510,495 = 510,495/x
  3. Step 3: Cross multiply
    335,065x = 510,495 × 510,495
  4. Step 4: Simplify right side
    335,065x = 260,605,145,025
  5. Step 5: Solve for x
    x = 260,605,145,025/335,065
  6. Step 6: Final answer
    x = 777,774.89

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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.