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Finding the Third Proportional to 513,231 and 750,345

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Solution

The third proportional to 513,231 and 750,345 is: 1,097,006.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,231 : 750,345 = 750,345 : x
  2. Step 2: Convert to fraction form
    513,231/750,345 = 750,345/x
  3. Step 3: Cross multiply
    513,231x = 750,345 × 750,345
  4. Step 4: Simplify right side
    513,231x = 563,017,619,025
  5. Step 5: Solve for x
    x = 563,017,619,025/513,231
  6. Step 6: Final answer
    x = 1,097,006.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.