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Finding the Third Proportional to 498,980 and 781,852

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Solution

The third proportional to 498,980 and 781,852 is: 1,225,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,980 : 781,852 = 781,852 : x
  2. Step 2: Convert to fraction form
    498,980/781,852 = 781,852/x
  3. Step 3: Cross multiply
    498,980x = 781,852 × 781,852
  4. Step 4: Simplify right side
    498,980x = 611,292,549,904
  5. Step 5: Solve for x
    x = 611,292,549,904/498,980
  6. Step 6: Final answer
    x = 1,225,084.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.