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Finding the Third Proportional to 326,127 and 710,148

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Solution

The third proportional to 326,127 and 710,148 is: 1,546,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,127 : 710,148 = 710,148 : x
  2. Step 2: Convert to fraction form
    326,127/710,148 = 710,148/x
  3. Step 3: Cross multiply
    326,127x = 710,148 × 710,148
  4. Step 4: Simplify right side
    326,127x = 504,310,181,904
  5. Step 5: Solve for x
    x = 504,310,181,904/326,127
  6. Step 6: Final answer
    x = 1,546,361.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.