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Finding the Third Proportional to 597,384 and 946,390.50

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Solution

The third proportional to 597,384 and 946,390.50 is: 1,499,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,384 : 946,390.50 = 946,390.50 : x
  2. Step 2: Convert to fraction form
    597,384/946,390.50 = 946,390.50/x
  3. Step 3: Cross multiply
    597,384x = 946,390.50 × 946,390.50
  4. Step 4: Simplify right side
    597,384x = 895,654,978,490.25
  5. Step 5: Solve for x
    x = 895,654,978,490.25/597,384
  6. Step 6: Final answer
    x = 1,499,295.22

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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.