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Finding the Third Proportional to 497,577 and 749,949

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Solution

The third proportional to 497,577 and 749,949 is: 1,130,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,577 : 749,949 = 749,949 : x
  2. Step 2: Convert to fraction form
    497,577/749,949 = 749,949/x
  3. Step 3: Cross multiply
    497,577x = 749,949 × 749,949
  4. Step 4: Simplify right side
    497,577x = 562,423,502,601
  5. Step 5: Solve for x
    x = 562,423,502,601/497,577
  6. Step 6: Final answer
    x = 1,130,324.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.