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Finding the Third Proportional to 314,269.13 and 486,521.63

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Solution

The third proportional to 314,269.13 and 486,521.63 is: 753,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,269.13 : 486,521.63 = 486,521.63 : x
  2. Step 2: Convert to fraction form
    314,269.13/486,521.63 = 486,521.63/x
  3. Step 3: Cross multiply
    314,269.13x = 486,521.63 × 486,521.63
  4. Step 4: Simplify right side
    314,269.13x = 236,703,291,592.64
  5. Step 5: Solve for x
    x = 236,703,291,592.64/314,269.13
  6. Step 6: Final answer
    x = 753,186.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.