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Finding the Third Proportional to 434,583 and 698,044.50

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Solution

The third proportional to 434,583 and 698,044.50 is: 1,121,226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,583 : 698,044.50 = 698,044.50 : x
  2. Step 2: Convert to fraction form
    434,583/698,044.50 = 698,044.50/x
  3. Step 3: Cross multiply
    434,583x = 698,044.50 × 698,044.50
  4. Step 4: Simplify right side
    434,583x = 487,266,123,980.25
  5. Step 5: Solve for x
    x = 487,266,123,980.25/434,583
  6. Step 6: Final answer
    x = 1,121,226.84

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.