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Finding the Third Proportional to 496,308 and 742,479

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Solution

The third proportional to 496,308 and 742,479 is: 1,110,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,308 : 742,479 = 742,479 : x
  2. Step 2: Convert to fraction form
    496,308/742,479 = 742,479/x
  3. Step 3: Cross multiply
    496,308x = 742,479 × 742,479
  4. Step 4: Simplify right side
    496,308x = 551,275,065,441
  5. Step 5: Solve for x
    x = 551,275,065,441/496,308
  6. Step 6: Final answer
    x = 1,110,751.92

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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.