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Finding the Third Proportional to 500,640.75 and 732,098.25

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Solution

The third proportional to 500,640.75 and 732,098.25 is: 1,070,563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,640.75 : 732,098.25 = 732,098.25 : x
  2. Step 2: Convert to fraction form
    500,640.75/732,098.25 = 732,098.25/x
  3. Step 3: Cross multiply
    500,640.75x = 732,098.25 × 732,098.25
  4. Step 4: Simplify right side
    500,640.75x = 535,967,847,653.06
  5. Step 5: Solve for x
    x = 535,967,847,653.06/500,640.75
  6. Step 6: Final answer
    x = 1,070,563.77

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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.