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Finding the Third Proportional to 587,798 and 879,423

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Solution

The third proportional to 587,798 and 879,423 is: 1,315,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,798 : 879,423 = 879,423 : x
  2. Step 2: Convert to fraction form
    587,798/879,423 = 879,423/x
  3. Step 3: Cross multiply
    587,798x = 879,423 × 879,423
  4. Step 4: Simplify right side
    587,798x = 773,384,812,929
  5. Step 5: Solve for x
    x = 773,384,812,929/587,798
  6. Step 6: Final answer
    x = 1,315,732.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.