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Finding the Third Proportional to 496,309 and 742,480

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Solution

The third proportional to 496,309 and 742,480 is: 1,110,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,309 : 742,480 = 742,480 : x
  2. Step 2: Convert to fraction form
    496,309/742,480 = 742,480/x
  3. Step 3: Cross multiply
    496,309x = 742,480 × 742,480
  4. Step 4: Simplify right side
    496,309x = 551,276,550,400
  5. Step 5: Solve for x
    x = 551,276,550,400/496,309
  6. Step 6: Final answer
    x = 1,110,752.68

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Why These Related Problems?

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