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Finding the Third Proportional to 351,368 and 772,712

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Solution

The third proportional to 351,368 and 772,712 is: 1,699,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,368 : 772,712 = 772,712 : x
  2. Step 2: Convert to fraction form
    351,368/772,712 = 772,712/x
  3. Step 3: Cross multiply
    351,368x = 772,712 × 772,712
  4. Step 4: Simplify right side
    351,368x = 597,083,834,944
  5. Step 5: Solve for x
    x = 597,083,834,944/351,368
  6. Step 6: Final answer
    x = 1,699,311.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.