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Finding the Third Proportional to 483,003 and 742,527

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Solution

The third proportional to 483,003 and 742,527 is: 1,141,496.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,003 : 742,527 = 742,527 : x
  2. Step 2: Convert to fraction form
    483,003/742,527 = 742,527/x
  3. Step 3: Cross multiply
    483,003x = 742,527 × 742,527
  4. Step 4: Simplify right side
    483,003x = 551,346,345,729
  5. Step 5: Solve for x
    x = 551,346,345,729/483,003
  6. Step 6: Final answer
    x = 1,141,496.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.