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Finding the Third Proportional to 535,779 and 828,856.50

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Solution

The third proportional to 535,779 and 828,856.50 is: 1,282,250.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,779 : 828,856.50 = 828,856.50 : x
  2. Step 2: Convert to fraction form
    535,779/828,856.50 = 828,856.50/x
  3. Step 3: Cross multiply
    535,779x = 828,856.50 × 828,856.50
  4. Step 4: Simplify right side
    535,779x = 687,003,097,592.25
  5. Step 5: Solve for x
    x = 687,003,097,592.25/535,779
  6. Step 6: Final answer
    x = 1,282,250.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.