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Finding the Third Proportional to 324,938 and 712,646

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Solution

The third proportional to 324,938 and 712,646 is: 1,562,957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,938 : 712,646 = 712,646 : x
  2. Step 2: Convert to fraction form
    324,938/712,646 = 712,646/x
  3. Step 3: Cross multiply
    324,938x = 712,646 × 712,646
  4. Step 4: Simplify right side
    324,938x = 507,864,321,316
  5. Step 5: Solve for x
    x = 507,864,321,316/324,938
  6. Step 6: Final answer
    x = 1,562,957.61

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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.