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Finding the Third Proportional to 503,072 and 747,769

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Solution

The third proportional to 503,072 and 747,769 is: 1,111,487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,072 : 747,769 = 747,769 : x
  2. Step 2: Convert to fraction form
    503,072/747,769 = 747,769/x
  3. Step 3: Cross multiply
    503,072x = 747,769 × 747,769
  4. Step 4: Simplify right side
    503,072x = 559,158,477,361
  5. Step 5: Solve for x
    x = 559,158,477,361/503,072
  6. Step 6: Final answer
    x = 1,111,487.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.