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Finding the Third Proportional to 429,186 and 663,507

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Solution

The third proportional to 429,186 and 663,507 is: 1,025,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,186 : 663,507 = 663,507 : x
  2. Step 2: Convert to fraction form
    429,186/663,507 = 663,507/x
  3. Step 3: Cross multiply
    429,186x = 663,507 × 663,507
  4. Step 4: Simplify right side
    429,186x = 440,241,539,049
  5. Step 5: Solve for x
    x = 440,241,539,049/429,186
  6. Step 6: Final answer
    x = 1,025,759.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.