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Finding the Third Proportional to 615,095 and 828,039.50

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Solution

The third proportional to 615,095 and 828,039.50 is: 1,114,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,095 : 828,039.50 = 828,039.50 : x
  2. Step 2: Convert to fraction form
    615,095/828,039.50 = 828,039.50/x
  3. Step 3: Cross multiply
    615,095x = 828,039.50 × 828,039.50
  4. Step 4: Simplify right side
    615,095x = 685,649,413,560.25
  5. Step 5: Solve for x
    x = 685,649,413,560.25/615,095
  6. Step 6: Final answer
    x = 1,114,704.91

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.