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Finding the Third Proportional to 324,416 and 711,984

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Solution

The third proportional to 324,416 and 711,984 is: 1,562,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,416 : 711,984 = 711,984 : x
  2. Step 2: Convert to fraction form
    324,416/711,984 = 711,984/x
  3. Step 3: Cross multiply
    324,416x = 711,984 × 711,984
  4. Step 4: Simplify right side
    324,416x = 506,921,216,256
  5. Step 5: Solve for x
    x = 506,921,216,256/324,416
  6. Step 6: Final answer
    x = 1,562,565.40

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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.