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Finding the Third Proportional to 324,402 and 711,957

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Solution

The third proportional to 324,402 and 711,957 is: 1,562,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,402 : 711,957 = 711,957 : x
  2. Step 2: Convert to fraction form
    324,402/711,957 = 711,957/x
  3. Step 3: Cross multiply
    324,402x = 711,957 × 711,957
  4. Step 4: Simplify right side
    324,402x = 506,882,769,849
  5. Step 5: Solve for x
    x = 506,882,769,849/324,402
  6. Step 6: Final answer
    x = 1,562,514.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.