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Finding the Third Proportional to 582,201 and 883,803

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Solution

The third proportional to 582,201 and 883,803 is: 1,341,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,201 : 883,803 = 883,803 : x
  2. Step 2: Convert to fraction form
    582,201/883,803 = 883,803/x
  3. Step 3: Cross multiply
    582,201x = 883,803 × 883,803
  4. Step 4: Simplify right side
    582,201x = 781,107,742,809
  5. Step 5: Solve for x
    x = 781,107,742,809/582,201
  6. Step 6: Final answer
    x = 1,341,646.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.