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Finding the Third Proportional to 598,938.75 and 904,646.25

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Solution

The third proportional to 598,938.75 and 904,646.25 is: 1,366,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,938.75 : 904,646.25 = 904,646.25 : x
  2. Step 2: Convert to fraction form
    598,938.75/904,646.25 = 904,646.25/x
  3. Step 3: Cross multiply
    598,938.75x = 904,646.25 × 904,646.25
  4. Step 4: Simplify right side
    598,938.75x = 818,384,837,639.06
  5. Step 5: Solve for x
    x = 818,384,837,639.06/598,938.75
  6. Step 6: Final answer
    x = 1,366,391.53

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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.