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Finding the Third Proportional to 292,609.13 and 628,867.13

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Solution

The third proportional to 292,609.13 and 628,867.13 is: 1,351,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,609.13 : 628,867.13 = 628,867.13 : x
  2. Step 2: Convert to fraction form
    292,609.13/628,867.13 = 628,867.13/x
  3. Step 3: Cross multiply
    292,609.13x = 628,867.13 × 628,867.13
  4. Step 4: Simplify right side
    292,609.13x = 395,473,860,905.77
  5. Step 5: Solve for x
    x = 395,473,860,905.77/292,609.13
  6. Step 6: Final answer
    x = 1,351,543.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.