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Finding the Third Proportional to 547,053 and 828,130.50

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Solution

The third proportional to 547,053 and 828,130.50 is: 1,253,626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,053 : 828,130.50 = 828,130.50 : x
  2. Step 2: Convert to fraction form
    547,053/828,130.50 = 828,130.50/x
  3. Step 3: Cross multiply
    547,053x = 828,130.50 × 828,130.50
  4. Step 4: Simplify right side
    547,053x = 685,800,125,030.25
  5. Step 5: Solve for x
    x = 685,800,125,030.25/547,053
  6. Step 6: Final answer
    x = 1,253,626.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.