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Finding the Third Proportional to 526,460 and 832,906

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Solution

The third proportional to 526,460 and 832,906 is: 1,317,730.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,460 : 832,906 = 832,906 : x
  2. Step 2: Convert to fraction form
    526,460/832,906 = 832,906/x
  3. Step 3: Cross multiply
    526,460x = 832,906 × 832,906
  4. Step 4: Simplify right side
    526,460x = 693,732,404,836
  5. Step 5: Solve for x
    x = 693,732,404,836/526,460
  6. Step 6: Final answer
    x = 1,317,730.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.