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Finding the Third Proportional to 420,336 and 664,537.50

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Solution

The third proportional to 420,336 and 664,537.50 is: 1,050,612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,336 : 664,537.50 = 664,537.50 : x
  2. Step 2: Convert to fraction form
    420,336/664,537.50 = 664,537.50/x
  3. Step 3: Cross multiply
    420,336x = 664,537.50 × 664,537.50
  4. Step 4: Simplify right side
    420,336x = 441,610,088,906.25
  5. Step 5: Solve for x
    x = 441,610,088,906.25/420,336
  6. Step 6: Final answer
    x = 1,050,612.10

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.