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Finding the Third Proportional to 530,047 and 844,242

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Solution

The third proportional to 530,047 and 844,242 is: 1,344,681.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,047 : 844,242 = 844,242 : x
  2. Step 2: Convert to fraction form
    530,047/844,242 = 844,242/x
  3. Step 3: Cross multiply
    530,047x = 844,242 × 844,242
  4. Step 4: Simplify right side
    530,047x = 712,744,554,564
  5. Step 5: Solve for x
    x = 712,744,554,564/530,047
  6. Step 6: Final answer
    x = 1,344,681.80

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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.