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Finding the Third Proportional to 353,352 and 545,922

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Solution

The third proportional to 353,352 and 545,922 is: 843,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,352 : 545,922 = 545,922 : x
  2. Step 2: Convert to fraction form
    353,352/545,922 = 545,922/x
  3. Step 3: Cross multiply
    353,352x = 545,922 × 545,922
  4. Step 4: Simplify right side
    353,352x = 298,030,830,084
  5. Step 5: Solve for x
    x = 298,030,830,084/353,352
  6. Step 6: Final answer
    x = 843,438.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.