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Finding the Third Proportional to 365,788 and 548,678

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Solution

The third proportional to 365,788 and 548,678 is: 823,011.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,788 : 548,678 = 548,678 : x
  2. Step 2: Convert to fraction form
    365,788/548,678 = 548,678/x
  3. Step 3: Cross multiply
    365,788x = 548,678 × 548,678
  4. Step 4: Simplify right side
    365,788x = 301,047,547,684
  5. Step 5: Solve for x
    x = 301,047,547,684/365,788
  6. Step 6: Final answer
    x = 823,011.00

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