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Finding the Third Proportional to 475,935 and 736,944.50

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Solution

The third proportional to 475,935 and 736,944.50 is: 1,141,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,935 : 736,944.50 = 736,944.50 : x
  2. Step 2: Convert to fraction form
    475,935/736,944.50 = 736,944.50/x
  3. Step 3: Cross multiply
    475,935x = 736,944.50 × 736,944.50
  4. Step 4: Simplify right side
    475,935x = 543,087,196,080.25
  5. Step 5: Solve for x
    x = 543,087,196,080.25/475,935
  6. Step 6: Final answer
    x = 1,141,095.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.