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Finding the Third Proportional to 625,284 and 968,814

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Solution

The third proportional to 625,284 and 968,814 is: 1,501,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,284 : 968,814 = 968,814 : x
  2. Step 2: Convert to fraction form
    625,284/968,814 = 968,814/x
  3. Step 3: Cross multiply
    625,284x = 968,814 × 968,814
  4. Step 4: Simplify right side
    625,284x = 938,600,566,596
  5. Step 5: Solve for x
    x = 938,600,566,596/625,284
  6. Step 6: Final answer
    x = 1,501,078.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.