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Finding the Third Proportional to 423,558 and 932,409

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Solution

The third proportional to 423,558 and 932,409 is: 2,052,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,558 : 932,409 = 932,409 : x
  2. Step 2: Convert to fraction form
    423,558/932,409 = 932,409/x
  3. Step 3: Cross multiply
    423,558x = 932,409 × 932,409
  4. Step 4: Simplify right side
    423,558x = 869,386,543,281
  5. Step 5: Solve for x
    x = 869,386,543,281/423,558
  6. Step 6: Final answer
    x = 2,052,579.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.