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Finding the Third Proportional to 738,942 and 1,113,700.50

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Solution

The third proportional to 738,942 and 1,113,700.50 is: 1,678,519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,942 : 1,113,700.50 = 1,113,700.50 : x
  2. Step 2: Convert to fraction form
    738,942/1,113,700.50 = 1,113,700.50/x
  3. Step 3: Cross multiply
    738,942x = 1,113,700.50 × 1,113,700.50
  4. Step 4: Simplify right side
    738,942x = 1,240,328,803,700.25
  5. Step 5: Solve for x
    x = 1,240,328,803,700.25/738,942
  6. Step 6: Final answer
    x = 1,678,519.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.