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Finding the Third Proportional to 497,953 and 754,447

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Solution

The third proportional to 497,953 and 754,447 is: 1,143,060.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,953 : 754,447 = 754,447 : x
  2. Step 2: Convert to fraction form
    497,953/754,447 = 754,447/x
  3. Step 3: Cross multiply
    497,953x = 754,447 × 754,447
  4. Step 4: Simplify right side
    497,953x = 569,190,275,809
  5. Step 5: Solve for x
    x = 569,190,275,809/497,953
  6. Step 6: Final answer
    x = 1,143,060.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.