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Finding the Third Proportional to 433,512 and 575,370

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Solution

The third proportional to 433,512 and 575,370 is: 763,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,512 : 575,370 = 575,370 : x
  2. Step 2: Convert to fraction form
    433,512/575,370 = 575,370/x
  3. Step 3: Cross multiply
    433,512x = 575,370 × 575,370
  4. Step 4: Simplify right side
    433,512x = 331,050,636,900
  5. Step 5: Solve for x
    x = 331,050,636,900/433,512
  6. Step 6: Final answer
    x = 763,648.15

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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.