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Finding the Third Proportional to 433,426 and 575,262

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Solution

The third proportional to 433,426 and 575,262 is: 763,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,426 : 575,262 = 575,262 : x
  2. Step 2: Convert to fraction form
    433,426/575,262 = 575,262/x
  3. Step 3: Cross multiply
    433,426x = 575,262 × 575,262
  4. Step 4: Simplify right side
    433,426x = 330,926,368,644
  5. Step 5: Solve for x
    x = 330,926,368,644/433,426
  6. Step 6: Final answer
    x = 763,512.96

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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.