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Finding the Third Proportional to 523,010 and 783,813

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Solution

The third proportional to 523,010 and 783,813 is: 1,174,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,010 : 783,813 = 783,813 : x
  2. Step 2: Convert to fraction form
    523,010/783,813 = 783,813/x
  3. Step 3: Cross multiply
    523,010x = 783,813 × 783,813
  4. Step 4: Simplify right side
    523,010x = 614,362,818,969
  5. Step 5: Solve for x
    x = 614,362,818,969/523,010
  6. Step 6: Final answer
    x = 1,174,667.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.