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Finding the Third Proportional to 610,440 and 836,499

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Solution

The third proportional to 610,440 and 836,499 is: 1,146,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,440 : 836,499 = 836,499 : x
  2. Step 2: Convert to fraction form
    610,440/836,499 = 836,499/x
  3. Step 3: Cross multiply
    610,440x = 836,499 × 836,499
  4. Step 4: Simplify right side
    610,440x = 699,730,577,001
  5. Step 5: Solve for x
    x = 699,730,577,001/610,440
  6. Step 6: Final answer
    x = 1,146,272.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.