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Finding the Third Proportional to 186,620 and 404,737

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Solution

The third proportional to 186,620 and 404,737 is: 877,783.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,620 : 404,737 = 404,737 : x
  2. Step 2: Convert to fraction form
    186,620/404,737 = 404,737/x
  3. Step 3: Cross multiply
    186,620x = 404,737 × 404,737
  4. Step 4: Simplify right side
    186,620x = 163,812,039,169
  5. Step 5: Solve for x
    x = 163,812,039,169/186,620
  6. Step 6: Final answer
    x = 877,783.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.