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Finding the Third Proportional to 314,476 and 483,948

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Solution

The third proportional to 314,476 and 483,948 is: 744,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,476 : 483,948 = 483,948 : x
  2. Step 2: Convert to fraction form
    314,476/483,948 = 483,948/x
  3. Step 3: Cross multiply
    314,476x = 483,948 × 483,948
  4. Step 4: Simplify right side
    314,476x = 234,205,666,704
  5. Step 5: Solve for x
    x = 234,205,666,704/314,476
  6. Step 6: Final answer
    x = 744,748.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.