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Finding the Third Proportional to 224,587.13 and 486,946.13

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Solution

The third proportional to 224,587.13 and 486,946.13 is: 1,055,788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,587.13 : 486,946.13 = 486,946.13 : x
  2. Step 2: Convert to fraction form
    224,587.13/486,946.13 = 486,946.13/x
  3. Step 3: Cross multiply
    224,587.13x = 486,946.13 × 486,946.13
  4. Step 4: Simplify right side
    224,587.13x = 237,116,528,652.52
  5. Step 5: Solve for x
    x = 237,116,528,652.52/224,587.13
  6. Step 6: Final answer
    x = 1,055,788.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.