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Finding the Third Proportional to 491,258 and 720,771

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Solution

The third proportional to 491,258 and 720,771 is: 1,057,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,258 : 720,771 = 720,771 : x
  2. Step 2: Convert to fraction form
    491,258/720,771 = 720,771/x
  3. Step 3: Cross multiply
    491,258x = 720,771 × 720,771
  4. Step 4: Simplify right side
    491,258x = 519,510,834,441
  5. Step 5: Solve for x
    x = 519,510,834,441/491,258
  6. Step 6: Final answer
    x = 1,057,511.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.