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Finding the Third Proportional to 433,442 and 575,132

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Solution

The third proportional to 433,442 and 575,132 is: 763,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,442 : 575,132 = 575,132 : x
  2. Step 2: Convert to fraction form
    433,442/575,132 = 575,132/x
  3. Step 3: Cross multiply
    433,442x = 575,132 × 575,132
  4. Step 4: Simplify right side
    433,442x = 330,776,817,424
  5. Step 5: Solve for x
    x = 330,776,817,424/433,442
  6. Step 6: Final answer
    x = 763,139.75

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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.