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Finding the Third Proportional to 233,442 and 497,988

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Solution

The third proportional to 233,442 and 497,988 is: 1,062,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,442 : 497,988 = 497,988 : x
  2. Step 2: Convert to fraction form
    233,442/497,988 = 497,988/x
  3. Step 3: Cross multiply
    233,442x = 497,988 × 497,988
  4. Step 4: Simplify right side
    233,442x = 247,992,048,144
  5. Step 5: Solve for x
    x = 247,992,048,144/233,442
  6. Step 6: Final answer
    x = 1,062,328.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.