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Finding the Third Proportional to 564,726 and 828,251

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Solution

The third proportional to 564,726 and 828,251 is: 1,214,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,726 : 828,251 = 828,251 : x
  2. Step 2: Convert to fraction form
    564,726/828,251 = 828,251/x
  3. Step 3: Cross multiply
    564,726x = 828,251 × 828,251
  4. Step 4: Simplify right side
    564,726x = 685,999,719,001
  5. Step 5: Solve for x
    x = 685,999,719,001/564,726
  6. Step 6: Final answer
    x = 1,214,747.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.