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Finding the Third Proportional to 342,147 and 499,828.50

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Solution

The third proportional to 342,147 and 499,828.50 is: 730,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,147 : 499,828.50 = 499,828.50 : x
  2. Step 2: Convert to fraction form
    342,147/499,828.50 = 499,828.50/x
  3. Step 3: Cross multiply
    342,147x = 499,828.50 × 499,828.50
  4. Step 4: Simplify right side
    342,147x = 249,828,529,412.25
  5. Step 5: Solve for x
    x = 249,828,529,412.25/342,147
  6. Step 6: Final answer
    x = 730,178.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.