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Finding the Third Proportional to 342,117.42 and 492,804

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Solution

The third proportional to 342,117.42 and 492,804 is: 709,860.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,117.42 : 492,804 = 492,804 : x
  2. Step 2: Convert to fraction form
    342,117.42/492,804 = 492,804/x
  3. Step 3: Cross multiply
    342,117.42x = 492,804 × 492,804
  4. Step 4: Simplify right side
    342,117.42x = 242,855,782,416
  5. Step 5: Solve for x
    x = 242,855,782,416/342,117.42
  6. Step 6: Final answer
    x = 709,860.90

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.