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Finding the Third Proportional to 387,182 and 830,397

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Solution

The third proportional to 387,182 and 830,397 is: 1,780,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,182 : 830,397 = 830,397 : x
  2. Step 2: Convert to fraction form
    387,182/830,397 = 830,397/x
  3. Step 3: Cross multiply
    387,182x = 830,397 × 830,397
  4. Step 4: Simplify right side
    387,182x = 689,559,177,609
  5. Step 5: Solve for x
    x = 689,559,177,609/387,182
  6. Step 6: Final answer
    x = 1,780,969.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.