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Finding the Third Proportional to 368,280 and 773,712

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Solution

The third proportional to 368,280 and 773,712 is: 1,625,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,280 : 773,712 = 773,712 : x
  2. Step 2: Convert to fraction form
    368,280/773,712 = 773,712/x
  3. Step 3: Cross multiply
    368,280x = 773,712 × 773,712
  4. Step 4: Simplify right side
    368,280x = 598,630,258,944
  5. Step 5: Solve for x
    x = 598,630,258,944/368,280
  6. Step 6: Final answer
    x = 1,625,475.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.