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Finding the Third Proportional to 434,487 and 908,695.50

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Solution

The third proportional to 434,487 and 908,695.50 is: 1,900,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,487 : 908,695.50 = 908,695.50 : x
  2. Step 2: Convert to fraction form
    434,487/908,695.50 = 908,695.50/x
  3. Step 3: Cross multiply
    434,487x = 908,695.50 × 908,695.50
  4. Step 4: Simplify right side
    434,487x = 825,727,511,720.25
  5. Step 5: Solve for x
    x = 825,727,511,720.25/434,487
  6. Step 6: Final answer
    x = 1,900,465.40

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.