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Finding the Third Proportional to 550,070 and 875,269

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Solution

The third proportional to 550,070 and 875,269 is: 1,392,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,070 : 875,269 = 875,269 : x
  2. Step 2: Convert to fraction form
    550,070/875,269 = 875,269/x
  3. Step 3: Cross multiply
    550,070x = 875,269 × 875,269
  4. Step 4: Simplify right side
    550,070x = 766,095,822,361
  5. Step 5: Solve for x
    x = 766,095,822,361/550,070
  6. Step 6: Final answer
    x = 1,392,724.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.