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Finding the Third Proportional to 366,673.50 and 493,411.50

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Solution

The third proportional to 366,673.50 and 493,411.50 is: 663,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,673.50 : 493,411.50 = 493,411.50 : x
  2. Step 2: Convert to fraction form
    366,673.50/493,411.50 = 493,411.50/x
  3. Step 3: Cross multiply
    366,673.50x = 493,411.50 × 493,411.50
  4. Step 4: Simplify right side
    366,673.50x = 243,454,908,332.25
  5. Step 5: Solve for x
    x = 243,454,908,332.25/366,673.50
  6. Step 6: Final answer
    x = 663,955.56

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.