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Finding the Third Proportional to 295,740 and 463,323.38

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Solution

The third proportional to 295,740 and 463,323.38 is: 725,869.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,740 : 463,323.38 = 463,323.38 : x
  2. Step 2: Convert to fraction form
    295,740/463,323.38 = 463,323.38/x
  3. Step 3: Cross multiply
    295,740x = 463,323.38 × 463,323.38
  4. Step 4: Simplify right side
    295,740x = 214,668,549,821.39
  5. Step 5: Solve for x
    x = 214,668,549,821.39/295,740
  6. Step 6: Final answer
    x = 725,869.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.