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Finding the Third Proportional to 186,924 and 410,037

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Solution

The third proportional to 186,924 and 410,037 is: 899,458.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,924 : 410,037 = 410,037 : x
  2. Step 2: Convert to fraction form
    186,924/410,037 = 410,037/x
  3. Step 3: Cross multiply
    186,924x = 410,037 × 410,037
  4. Step 4: Simplify right side
    186,924x = 168,130,341,369
  5. Step 5: Solve for x
    x = 168,130,341,369/186,924
  6. Step 6: Final answer
    x = 899,458.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.