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Finding the Third Proportional to 598,468 and 898,319

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Solution

The third proportional to 598,468 and 898,319 is: 1,348,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,468 : 898,319 = 898,319 : x
  2. Step 2: Convert to fraction form
    598,468/898,319 = 898,319/x
  3. Step 3: Cross multiply
    598,468x = 898,319 × 898,319
  4. Step 4: Simplify right side
    598,468x = 806,977,025,761
  5. Step 5: Solve for x
    x = 806,977,025,761/598,468
  6. Step 6: Final answer
    x = 1,348,404.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.