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Finding the Third Proportional to 657,895.50 and 991,701

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Solution

The third proportional to 657,895.50 and 991,701 is: 1,494,873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,895.50 : 991,701 = 991,701 : x
  2. Step 2: Convert to fraction form
    657,895.50/991,701 = 991,701/x
  3. Step 3: Cross multiply
    657,895.50x = 991,701 × 991,701
  4. Step 4: Simplify right side
    657,895.50x = 983,470,873,401
  5. Step 5: Solve for x
    x = 983,470,873,401/657,895.50
  6. Step 6: Final answer
    x = 1,494,873.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.