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Finding the Third Proportional to 512,866 and 732,301

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Solution

The third proportional to 512,866 and 732,301 is: 1,045,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,866 : 732,301 = 732,301 : x
  2. Step 2: Convert to fraction form
    512,866/732,301 = 732,301/x
  3. Step 3: Cross multiply
    512,866x = 732,301 × 732,301
  4. Step 4: Simplify right side
    512,866x = 536,264,754,601
  5. Step 5: Solve for x
    x = 536,264,754,601/512,866
  6. Step 6: Final answer
    x = 1,045,623.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.