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Finding the Third Proportional to 433,516 and 575,376

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Solution

The third proportional to 433,516 and 575,376 is: 763,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,516 : 575,376 = 575,376 : x
  2. Step 2: Convert to fraction form
    433,516/575,376 = 575,376/x
  3. Step 3: Cross multiply
    433,516x = 575,376 × 575,376
  4. Step 4: Simplify right side
    433,516x = 331,057,541,376
  5. Step 5: Solve for x
    x = 331,057,541,376/433,516
  6. Step 6: Final answer
    x = 763,657.03

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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.