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Finding the Third Proportional to 517,050 and 744,705

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Solution

The third proportional to 517,050 and 744,705 is: 1,072,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,050 : 744,705 = 744,705 : x
  2. Step 2: Convert to fraction form
    517,050/744,705 = 744,705/x
  3. Step 3: Cross multiply
    517,050x = 744,705 × 744,705
  4. Step 4: Simplify right side
    517,050x = 554,585,537,025
  5. Step 5: Solve for x
    x = 554,585,537,025/517,050
  6. Step 6: Final answer
    x = 1,072,595.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.