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Finding the Third Proportional to 507,652 and 761,577

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Solution

The third proportional to 507,652 and 761,577 is: 1,142,514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,652 : 761,577 = 761,577 : x
  2. Step 2: Convert to fraction form
    507,652/761,577 = 761,577/x
  3. Step 3: Cross multiply
    507,652x = 761,577 × 761,577
  4. Step 4: Simplify right side
    507,652x = 579,999,526,929
  5. Step 5: Solve for x
    x = 579,999,526,929/507,652
  6. Step 6: Final answer
    x = 1,142,514.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.