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Finding the Third Proportional to 186,924 and 410,034

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Solution

The third proportional to 186,924 and 410,034 is: 899,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,924 : 410,034 = 410,034 : x
  2. Step 2: Convert to fraction form
    186,924/410,034 = 410,034/x
  3. Step 3: Cross multiply
    186,924x = 410,034 × 410,034
  4. Step 4: Simplify right side
    186,924x = 168,127,881,156
  5. Step 5: Solve for x
    x = 168,127,881,156/186,924
  6. Step 6: Final answer
    x = 899,445.13

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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.