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Finding the Third Proportional to 328,968 and 717,430.50

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Solution

The third proportional to 328,968 and 717,430.50 is: 1,564,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,968 : 717,430.50 = 717,430.50 : x
  2. Step 2: Convert to fraction form
    328,968/717,430.50 = 717,430.50/x
  3. Step 3: Cross multiply
    328,968x = 717,430.50 × 717,430.50
  4. Step 4: Simplify right side
    328,968x = 514,706,522,330.25
  5. Step 5: Solve for x
    x = 514,706,522,330.25/328,968
  6. Step 6: Final answer
    x = 1,564,609.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.