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Finding the Third Proportional to 434,465 and 908,654.50

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Solution

The third proportional to 434,465 and 908,654.50 is: 1,900,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,465 : 908,654.50 = 908,654.50 : x
  2. Step 2: Convert to fraction form
    434,465/908,654.50 = 908,654.50/x
  3. Step 3: Cross multiply
    434,465x = 908,654.50 × 908,654.50
  4. Step 4: Simplify right side
    434,465x = 825,653,000,370.25
  5. Step 5: Solve for x
    x = 825,653,000,370.25/434,465
  6. Step 6: Final answer
    x = 1,900,390.14

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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.