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Finding the Third Proportional to 328,429.50 and 710,835

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Solution

The third proportional to 328,429.50 and 710,835 is: 1,538,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,429.50 : 710,835 = 710,835 : x
  2. Step 2: Convert to fraction form
    328,429.50/710,835 = 710,835/x
  3. Step 3: Cross multiply
    328,429.50x = 710,835 × 710,835
  4. Step 4: Simplify right side
    328,429.50x = 505,286,397,225
  5. Step 5: Solve for x
    x = 505,286,397,225/328,429.50
  6. Step 6: Final answer
    x = 1,538,492.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.