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Finding the Third Proportional to 598,792.50 and 904,405.50

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Solution

The third proportional to 598,792.50 and 904,405.50 is: 1,365,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,792.50 : 904,405.50 = 904,405.50 : x
  2. Step 2: Convert to fraction form
    598,792.50/904,405.50 = 904,405.50/x
  3. Step 3: Cross multiply
    598,792.50x = 904,405.50 × 904,405.50
  4. Step 4: Simplify right side
    598,792.50x = 817,949,308,430.25
  5. Step 5: Solve for x
    x = 817,949,308,430.25/598,792.50
  6. Step 6: Final answer
    x = 1,365,997.92

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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.