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Finding the Third Proportional to 429,396.19 and 583,165.69

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Solution

The third proportional to 429,396.19 and 583,165.69 is: 792,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,396.19 : 583,165.69 = 583,165.69 : x
  2. Step 2: Convert to fraction form
    429,396.19/583,165.69 = 583,165.69/x
  3. Step 3: Cross multiply
    429,396.19x = 583,165.69 × 583,165.69
  4. Step 4: Simplify right side
    429,396.19x = 340,082,219,077.35
  5. Step 5: Solve for x
    x = 340,082,219,077.35/429,396.19
  6. Step 6: Final answer
    x = 792,001.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.