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Finding the Third Proportional to 497,948 and 754,444

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Solution

The third proportional to 497,948 and 754,444 is: 1,143,062.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,948 : 754,444 = 754,444 : x
  2. Step 2: Convert to fraction form
    497,948/754,444 = 754,444/x
  3. Step 3: Cross multiply
    497,948x = 754,444 × 754,444
  4. Step 4: Simplify right side
    497,948x = 569,185,749,136
  5. Step 5: Solve for x
    x = 569,185,749,136/497,948
  6. Step 6: Final answer
    x = 1,143,062.63

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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.