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Finding the Third Proportional to 581,604 and 853,236

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Solution

The third proportional to 581,604 and 853,236 is: 1,251,730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,604 : 853,236 = 853,236 : x
  2. Step 2: Convert to fraction form
    581,604/853,236 = 853,236/x
  3. Step 3: Cross multiply
    581,604x = 853,236 × 853,236
  4. Step 4: Simplify right side
    581,604x = 728,011,671,696
  5. Step 5: Solve for x
    x = 728,011,671,696/581,604
  6. Step 6: Final answer
    x = 1,251,730.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.