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Finding the Third Proportional to 598,652 and 929,460

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Solution

The third proportional to 598,652 and 929,460 is: 1,443,068.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,652 : 929,460 = 929,460 : x
  2. Step 2: Convert to fraction form
    598,652/929,460 = 929,460/x
  3. Step 3: Cross multiply
    598,652x = 929,460 × 929,460
  4. Step 4: Simplify right side
    598,652x = 863,895,891,600
  5. Step 5: Solve for x
    x = 863,895,891,600/598,652
  6. Step 6: Final answer
    x = 1,443,068.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.