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Finding the Third Proportional to 351,984 and 830,032

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Solution

The third proportional to 351,984 and 830,032 is: 1,957,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,984 : 830,032 = 830,032 : x
  2. Step 2: Convert to fraction form
    351,984/830,032 = 830,032/x
  3. Step 3: Cross multiply
    351,984x = 830,032 × 830,032
  4. Step 4: Simplify right side
    351,984x = 688,953,121,024
  5. Step 5: Solve for x
    x = 688,953,121,024/351,984
  6. Step 6: Final answer
    x = 1,957,342.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.