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Finding the Third Proportional to 477,657 and 696,795.50

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Solution

The third proportional to 477,657 and 696,795.50 is: 1,016,469.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,657 : 696,795.50 = 696,795.50 : x
  2. Step 2: Convert to fraction form
    477,657/696,795.50 = 696,795.50/x
  3. Step 3: Cross multiply
    477,657x = 696,795.50 × 696,795.50
  4. Step 4: Simplify right side
    477,657x = 485,523,968,820.25
  5. Step 5: Solve for x
    x = 485,523,968,820.25/477,657
  6. Step 6: Final answer
    x = 1,016,469.91

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.