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Finding the Third Proportional to 416,700 and 910,903.50

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Solution

The third proportional to 416,700 and 910,903.50 is: 1,991,229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,700 : 910,903.50 = 910,903.50 : x
  2. Step 2: Convert to fraction form
    416,700/910,903.50 = 910,903.50/x
  3. Step 3: Cross multiply
    416,700x = 910,903.50 × 910,903.50
  4. Step 4: Simplify right side
    416,700x = 829,745,186,312.25
  5. Step 5: Solve for x
    x = 829,745,186,312.25/416,700
  6. Step 6: Final answer
    x = 1,991,229.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.