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Finding the Third Proportional to 463,673 and 977,160.50

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Solution

The third proportional to 463,673 and 977,160.50 is: 2,059,301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,673 : 977,160.50 = 977,160.50 : x
  2. Step 2: Convert to fraction form
    463,673/977,160.50 = 977,160.50/x
  3. Step 3: Cross multiply
    463,673x = 977,160.50 × 977,160.50
  4. Step 4: Simplify right side
    463,673x = 954,842,642,760.25
  5. Step 5: Solve for x
    x = 954,842,642,760.25/463,673
  6. Step 6: Final answer
    x = 2,059,301.80

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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.