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Finding the Third Proportional to 598,280 and 951,365

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Solution

The third proportional to 598,280 and 951,365 is: 1,512,829.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,280 : 951,365 = 951,365 : x
  2. Step 2: Convert to fraction form
    598,280/951,365 = 951,365/x
  3. Step 3: Cross multiply
    598,280x = 951,365 × 951,365
  4. Step 4: Simplify right side
    598,280x = 905,095,363,225
  5. Step 5: Solve for x
    x = 905,095,363,225/598,280
  6. Step 6: Final answer
    x = 1,512,829.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.