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Finding the Third Proportional to 360,673.59 and 562,846.50

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Solution

The third proportional to 360,673.59 and 562,846.50 is: 878,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,673.59 : 562,846.50 = 562,846.50 : x
  2. Step 2: Convert to fraction form
    360,673.59/562,846.50 = 562,846.50/x
  3. Step 3: Cross multiply
    360,673.59x = 562,846.50 × 562,846.50
  4. Step 4: Simplify right side
    360,673.59x = 316,796,182,562.25
  5. Step 5: Solve for x
    x = 316,796,182,562.25/360,673.59
  6. Step 6: Final answer
    x = 878,345.93

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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.