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Finding the Third Proportional to 526,046 and 744,345

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Solution

The third proportional to 526,046 and 744,345 is: 1,053,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,046 : 744,345 = 744,345 : x
  2. Step 2: Convert to fraction form
    526,046/744,345 = 744,345/x
  3. Step 3: Cross multiply
    526,046x = 744,345 × 744,345
  4. Step 4: Simplify right side
    526,046x = 554,049,479,025
  5. Step 5: Solve for x
    x = 554,049,479,025/526,046
  6. Step 6: Final answer
    x = 1,053,233.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.