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Finding the Third Proportional to 423,900 and 594,095

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Solution

The third proportional to 423,900 and 594,095 is: 832,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,900 : 594,095 = 594,095 : x
  2. Step 2: Convert to fraction form
    423,900/594,095 = 594,095/x
  3. Step 3: Cross multiply
    423,900x = 594,095 × 594,095
  4. Step 4: Simplify right side
    423,900x = 352,948,869,025
  5. Step 5: Solve for x
    x = 352,948,869,025/423,900
  6. Step 6: Final answer
    x = 832,622.95

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.