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Finding the Third Proportional to 530,046 and 844,239

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Solution

The third proportional to 530,046 and 844,239 is: 1,344,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,046 : 844,239 = 844,239 : x
  2. Step 2: Convert to fraction form
    530,046/844,239 = 844,239/x
  3. Step 3: Cross multiply
    530,046x = 844,239 × 844,239
  4. Step 4: Simplify right side
    530,046x = 712,739,489,121
  5. Step 5: Solve for x
    x = 712,739,489,121/530,046
  6. Step 6: Final answer
    x = 1,344,674.78

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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.