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Finding the Third Proportional to 591,030 and 865,467

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Solution

The third proportional to 591,030 and 865,467 is: 1,267,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,030 : 865,467 = 865,467 : x
  2. Step 2: Convert to fraction form
    591,030/865,467 = 865,467/x
  3. Step 3: Cross multiply
    591,030x = 865,467 × 865,467
  4. Step 4: Simplify right side
    591,030x = 749,033,128,089
  5. Step 5: Solve for x
    x = 749,033,128,089/591,030
  6. Step 6: Final answer
    x = 1,267,335.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.