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Finding the Third Proportional to 360,675.84 and 562,849.59

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Solution

The third proportional to 360,675.84 and 562,849.59 is: 878,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,675.84 : 562,849.59 = 562,849.59 : x
  2. Step 2: Convert to fraction form
    360,675.84/562,849.59 = 562,849.59/x
  3. Step 3: Cross multiply
    360,675.84x = 562,849.59 × 562,849.59
  4. Step 4: Simplify right side
    360,675.84x = 316,799,665,184.54
  5. Step 5: Solve for x
    x = 316,799,665,184.54/360,675.84
  6. Step 6: Final answer
    x = 878,350.10

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.