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Finding the Third Proportional to 550,776 and 841,992

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Solution

The third proportional to 550,776 and 841,992 is: 1,287,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,776 : 841,992 = 841,992 : x
  2. Step 2: Convert to fraction form
    550,776/841,992 = 841,992/x
  3. Step 3: Cross multiply
    550,776x = 841,992 × 841,992
  4. Step 4: Simplify right side
    550,776x = 708,950,528,064
  5. Step 5: Solve for x
    x = 708,950,528,064/550,776
  6. Step 6: Final answer
    x = 1,287,184.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.