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Finding the Third Proportional to 623,828 and 991,732

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Solution

The third proportional to 623,828 and 991,732 is: 1,576,608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,828 : 991,732 = 991,732 : x
  2. Step 2: Convert to fraction form
    623,828/991,732 = 991,732/x
  3. Step 3: Cross multiply
    623,828x = 991,732 × 991,732
  4. Step 4: Simplify right side
    623,828x = 983,532,359,824
  5. Step 5: Solve for x
    x = 983,532,359,824/623,828
  6. Step 6: Final answer
    x = 1,576,608.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.