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Finding the Third Proportional to 597,988 and 950,928

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Solution

The third proportional to 597,988 and 950,928 is: 1,512,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,988 : 950,928 = 950,928 : x
  2. Step 2: Convert to fraction form
    597,988/950,928 = 950,928/x
  3. Step 3: Cross multiply
    597,988x = 950,928 × 950,928
  4. Step 4: Simplify right side
    597,988x = 904,264,061,184
  5. Step 5: Solve for x
    x = 904,264,061,184/597,988
  6. Step 6: Final answer
    x = 1,512,177.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.