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Finding the Third Proportional to 497,277 and 750,051

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Solution

The third proportional to 497,277 and 750,051 is: 1,131,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,277 : 750,051 = 750,051 : x
  2. Step 2: Convert to fraction form
    497,277/750,051 = 750,051/x
  3. Step 3: Cross multiply
    497,277x = 750,051 × 750,051
  4. Step 4: Simplify right side
    497,277x = 562,576,502,601
  5. Step 5: Solve for x
    x = 562,576,502,601/497,277
  6. Step 6: Final answer
    x = 1,131,314.14

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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.