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Finding the Third Proportional to 356,959.41 and 763,742.67

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Solution

The third proportional to 356,959.41 and 763,742.67 is: 1,634,087.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,959.41 : 763,742.67 = 763,742.67 : x
  2. Step 2: Convert to fraction form
    356,959.41/763,742.67 = 763,742.67/x
  3. Step 3: Cross multiply
    356,959.41x = 763,742.67 × 763,742.67
  4. Step 4: Simplify right side
    356,959.41x = 583,302,868,842.76
  5. Step 5: Solve for x
    x = 583,302,868,842.76/356,959.41
  6. Step 6: Final answer
    x = 1,634,087.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.