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Finding the Third Proportional to 453,709 and 696,425.50

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Solution

The third proportional to 453,709 and 696,425.50 is: 1,068,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,709 : 696,425.50 = 696,425.50 : x
  2. Step 2: Convert to fraction form
    453,709/696,425.50 = 696,425.50/x
  3. Step 3: Cross multiply
    453,709x = 696,425.50 × 696,425.50
  4. Step 4: Simplify right side
    453,709x = 485,008,477,050.25
  5. Step 5: Solve for x
    x = 485,008,477,050.25/453,709
  6. Step 6: Final answer
    x = 1,068,985.80

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.