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Finding the Third Proportional to 497,024 and 790,464

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Solution

The third proportional to 497,024 and 790,464 is: 1,257,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,024 : 790,464 = 790,464 : x
  2. Step 2: Convert to fraction form
    497,024/790,464 = 790,464/x
  3. Step 3: Cross multiply
    497,024x = 790,464 × 790,464
  4. Step 4: Simplify right side
    497,024x = 624,833,335,296
  5. Step 5: Solve for x
    x = 624,833,335,296/497,024
  6. Step 6: Final answer
    x = 1,257,149.22

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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.