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Finding the Third Proportional to 407,271 and 893,355

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Solution

The third proportional to 407,271 and 893,355 is: 1,959,587.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,271 : 893,355 = 893,355 : x
  2. Step 2: Convert to fraction form
    407,271/893,355 = 893,355/x
  3. Step 3: Cross multiply
    407,271x = 893,355 × 893,355
  4. Step 4: Simplify right side
    407,271x = 798,083,156,025
  5. Step 5: Solve for x
    x = 798,083,156,025/407,271
  6. Step 6: Final answer
    x = 1,959,587.49

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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.