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Finding the Third Proportional to 220,066.50 and 463,776

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Solution

The third proportional to 220,066.50 and 463,776 is: 977,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,066.50 : 463,776 = 463,776 : x
  2. Step 2: Convert to fraction form
    220,066.50/463,776 = 463,776/x
  3. Step 3: Cross multiply
    220,066.50x = 463,776 × 463,776
  4. Step 4: Simplify right side
    220,066.50x = 215,088,178,176
  5. Step 5: Solve for x
    x = 215,088,178,176/220,066.50
  6. Step 6: Final answer
    x = 977,378.10

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.