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Finding the Third Proportional to 553,340 and 833,905

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Solution

The third proportional to 553,340 and 833,905 is: 1,256,727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,340 : 833,905 = 833,905 : x
  2. Step 2: Convert to fraction form
    553,340/833,905 = 833,905/x
  3. Step 3: Cross multiply
    553,340x = 833,905 × 833,905
  4. Step 4: Simplify right side
    553,340x = 695,397,549,025
  5. Step 5: Solve for x
    x = 695,397,549,025/553,340
  6. Step 6: Final answer
    x = 1,256,727.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.