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Finding the Third Proportional to 315,282 and 671,460

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Solution

The third proportional to 315,282 and 671,460 is: 1,430,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,282 : 671,460 = 671,460 : x
  2. Step 2: Convert to fraction form
    315,282/671,460 = 671,460/x
  3. Step 3: Cross multiply
    315,282x = 671,460 × 671,460
  4. Step 4: Simplify right side
    315,282x = 450,858,531,600
  5. Step 5: Solve for x
    x = 450,858,531,600/315,282
  6. Step 6: Final answer
    x = 1,430,016.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.