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Finding the Third Proportional to 309,109.50 and 651,429

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Solution

The third proportional to 309,109.50 and 651,429 is: 1,372,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,109.50 : 651,429 = 651,429 : x
  2. Step 2: Convert to fraction form
    309,109.50/651,429 = 651,429/x
  3. Step 3: Cross multiply
    309,109.50x = 651,429 × 651,429
  4. Step 4: Simplify right side
    309,109.50x = 424,359,742,041
  5. Step 5: Solve for x
    x = 424,359,742,041/309,109.50
  6. Step 6: Final answer
    x = 1,372,846.00

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.