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Finding the Third Proportional to 426,088 and 932,356

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Solution

The third proportional to 426,088 and 932,356 is: 2,040,160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,088 : 932,356 = 932,356 : x
  2. Step 2: Convert to fraction form
    426,088/932,356 = 932,356/x
  3. Step 3: Cross multiply
    426,088x = 932,356 × 932,356
  4. Step 4: Simplify right side
    426,088x = 869,287,710,736
  5. Step 5: Solve for x
    x = 869,287,710,736/426,088
  6. Step 6: Final answer
    x = 2,040,160.04

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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.