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Finding the Third Proportional to 553,696 and 791,784

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Solution

The third proportional to 553,696 and 791,784 is: 1,132,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,696 : 791,784 = 791,784 : x
  2. Step 2: Convert to fraction form
    553,696/791,784 = 791,784/x
  3. Step 3: Cross multiply
    553,696x = 791,784 × 791,784
  4. Step 4: Simplify right side
    553,696x = 626,921,902,656
  5. Step 5: Solve for x
    x = 626,921,902,656/553,696
  6. Step 6: Final answer
    x = 1,132,249.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.