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Finding the Third Proportional to 358,242.75 and 506,503.13

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Solution

The third proportional to 358,242.75 and 506,503.13 is: 716,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,242.75 : 506,503.13 = 506,503.13 : x
  2. Step 2: Convert to fraction form
    358,242.75/506,503.13 = 506,503.13/x
  3. Step 3: Cross multiply
    358,242.75x = 506,503.13 × 506,503.13
  4. Step 4: Simplify right side
    358,242.75x = 256,545,415,634.77
  5. Step 5: Solve for x
    x = 256,545,415,634.77/358,242.75
  6. Step 6: Final answer
    x = 716,121.72

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.