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Finding the Third Proportional to 433,424 and 575,261

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Solution

The third proportional to 433,424 and 575,261 is: 763,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,424 : 575,261 = 575,261 : x
  2. Step 2: Convert to fraction form
    433,424/575,261 = 575,261/x
  3. Step 3: Cross multiply
    433,424x = 575,261 × 575,261
  4. Step 4: Simplify right side
    433,424x = 330,925,218,121
  5. Step 5: Solve for x
    x = 330,925,218,121/433,424
  6. Step 6: Final answer
    x = 763,513.83

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.