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Finding the Third Proportional to 205,020 and 430,773

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Solution

The third proportional to 205,020 and 430,773 is: 905,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,020 : 430,773 = 430,773 : x
  2. Step 2: Convert to fraction form
    205,020/430,773 = 430,773/x
  3. Step 3: Cross multiply
    205,020x = 430,773 × 430,773
  4. Step 4: Simplify right side
    205,020x = 185,565,377,529
  5. Step 5: Solve for x
    x = 185,565,377,529/205,020
  6. Step 6: Final answer
    x = 905,108.66

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.