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Finding the Third Proportional to 550,656 and 775,457

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Solution

The third proportional to 550,656 and 775,457 is: 1,092,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,656 : 775,457 = 775,457 : x
  2. Step 2: Convert to fraction form
    550,656/775,457 = 775,457/x
  3. Step 3: Cross multiply
    550,656x = 775,457 × 775,457
  4. Step 4: Simplify right side
    550,656x = 601,333,558,849
  5. Step 5: Solve for x
    x = 601,333,558,849/550,656
  6. Step 6: Final answer
    x = 1,092,031.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.