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Finding the Third Proportional to 431,002 and 652,502

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Solution

The third proportional to 431,002 and 652,502 is: 987,835.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,002 : 652,502 = 652,502 : x
  2. Step 2: Convert to fraction form
    431,002/652,502 = 652,502/x
  3. Step 3: Cross multiply
    431,002x = 652,502 × 652,502
  4. Step 4: Simplify right side
    431,002x = 425,758,860,004
  5. Step 5: Solve for x
    x = 425,758,860,004/431,002
  6. Step 6: Final answer
    x = 987,835.00

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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.