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Finding the Third Proportional to 215,627.63 and 470,415.94

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Solution

The third proportional to 215,627.63 and 470,415.94 is: 1,026,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,627.63 : 470,415.94 = 470,415.94 : x
  2. Step 2: Convert to fraction form
    215,627.63/470,415.94 = 470,415.94/x
  3. Step 3: Cross multiply
    215,627.63x = 470,415.94 × 470,415.94
  4. Step 4: Simplify right side
    215,627.63x = 221,291,154,254.00
  5. Step 5: Solve for x
    x = 221,291,154,254.00/215,627.63
  6. Step 6: Final answer
    x = 1,026,265.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.