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Finding the Third Proportional to 510,050 and 787,020

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Solution

The third proportional to 510,050 and 787,020 is: 1,214,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,050 : 787,020 = 787,020 : x
  2. Step 2: Convert to fraction form
    510,050/787,020 = 787,020/x
  3. Step 3: Cross multiply
    510,050x = 787,020 × 787,020
  4. Step 4: Simplify right side
    510,050x = 619,400,480,400
  5. Step 5: Solve for x
    x = 619,400,480,400/510,050
  6. Step 6: Final answer
    x = 1,214,391.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.