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Finding the Third Proportional to 353,210 and 772,023

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Solution

The third proportional to 353,210 and 772,023 is: 1,687,436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,210 : 772,023 = 772,023 : x
  2. Step 2: Convert to fraction form
    353,210/772,023 = 772,023/x
  3. Step 3: Cross multiply
    353,210x = 772,023 × 772,023
  4. Step 4: Simplify right side
    353,210x = 596,019,512,529
  5. Step 5: Solve for x
    x = 596,019,512,529/353,210
  6. Step 6: Final answer
    x = 1,687,436.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.