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Finding the Third Proportional to 530,044 and 844,236

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Solution

The third proportional to 530,044 and 844,236 is: 1,344,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,044 : 844,236 = 844,236 : x
  2. Step 2: Convert to fraction form
    530,044/844,236 = 844,236/x
  3. Step 3: Cross multiply
    530,044x = 844,236 × 844,236
  4. Step 4: Simplify right side
    530,044x = 712,734,423,696
  5. Step 5: Solve for x
    x = 712,734,423,696/530,044
  6. Step 6: Final answer
    x = 1,344,670.30

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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.