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Finding the Third Proportional to 368,446 and 540,582

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Solution

The third proportional to 368,446 and 540,582 is: 793,139.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,446 : 540,582 = 540,582 : x
  2. Step 2: Convert to fraction form
    368,446/540,582 = 540,582/x
  3. Step 3: Cross multiply
    368,446x = 540,582 × 540,582
  4. Step 4: Simplify right side
    368,446x = 292,228,898,724
  5. Step 5: Solve for x
    x = 292,228,898,724/368,446
  6. Step 6: Final answer
    x = 793,139.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.