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Finding the Third Proportional to 574,338 and 1,177,332

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Solution

The third proportional to 574,338 and 1,177,332 is: 2,413,405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,338 : 1,177,332 = 1,177,332 : x
  2. Step 2: Convert to fraction form
    574,338/1,177,332 = 1,177,332/x
  3. Step 3: Cross multiply
    574,338x = 1,177,332 × 1,177,332
  4. Step 4: Simplify right side
    574,338x = 1,386,110,638,224
  5. Step 5: Solve for x
    x = 1,386,110,638,224/574,338
  6. Step 6: Final answer
    x = 2,413,405.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.