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Finding the Third Proportional to 352,705.50 and 771,669

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Solution

The third proportional to 352,705.50 and 771,669 is: 1,688,300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,705.50 : 771,669 = 771,669 : x
  2. Step 2: Convert to fraction form
    352,705.50/771,669 = 771,669/x
  3. Step 3: Cross multiply
    352,705.50x = 771,669 × 771,669
  4. Step 4: Simplify right side
    352,705.50x = 595,473,045,561
  5. Step 5: Solve for x
    x = 595,473,045,561/352,705.50
  6. Step 6: Final answer
    x = 1,688,300.99

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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.