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Finding the Third Proportional to 598,671 and 904,225.50

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Solution

The third proportional to 598,671 and 904,225.50 is: 1,365,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,671 : 904,225.50 = 904,225.50 : x
  2. Step 2: Convert to fraction form
    598,671/904,225.50 = 904,225.50/x
  3. Step 3: Cross multiply
    598,671x = 904,225.50 × 904,225.50
  4. Step 4: Simplify right side
    598,671x = 817,623,754,850.25
  5. Step 5: Solve for x
    x = 817,623,754,850.25/598,671
  6. Step 6: Final answer
    x = 1,365,731.35

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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.