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Finding the Third Proportional to 324,942 and 712,654

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Solution

The third proportional to 324,942 and 712,654 is: 1,562,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,942 : 712,654 = 712,654 : x
  2. Step 2: Convert to fraction form
    324,942/712,654 = 712,654/x
  3. Step 3: Cross multiply
    324,942x = 712,654 × 712,654
  4. Step 4: Simplify right side
    324,942x = 507,875,723,716
  5. Step 5: Solve for x
    x = 507,875,723,716/324,942
  6. Step 6: Final answer
    x = 1,562,973.47

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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.