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Finding the Third Proportional to 433,520 and 575,382

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Solution

The third proportional to 433,520 and 575,382 is: 763,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,520 : 575,382 = 575,382 : x
  2. Step 2: Convert to fraction form
    433,520/575,382 = 575,382/x
  3. Step 3: Cross multiply
    433,520x = 575,382 × 575,382
  4. Step 4: Simplify right side
    433,520x = 331,064,445,924
  5. Step 5: Solve for x
    x = 331,064,445,924/433,520
  6. Step 6: Final answer
    x = 763,665.91

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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.