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Finding the Third Proportional to 590,969.25 and 865,485

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Solution

The third proportional to 590,969.25 and 865,485 is: 1,267,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,969.25 : 865,485 = 865,485 : x
  2. Step 2: Convert to fraction form
    590,969.25/865,485 = 865,485/x
  3. Step 3: Cross multiply
    590,969.25x = 865,485 × 865,485
  4. Step 4: Simplify right side
    590,969.25x = 749,064,285,225
  5. Step 5: Solve for x
    x = 749,064,285,225/590,969.25
  6. Step 6: Final answer
    x = 1,267,518.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.