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Finding the Third Proportional to 358,957.50 and 783,114

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Solution

The third proportional to 358,957.50 and 783,114 is: 1,708,468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,957.50 : 783,114 = 783,114 : x
  2. Step 2: Convert to fraction form
    358,957.50/783,114 = 783,114/x
  3. Step 3: Cross multiply
    358,957.50x = 783,114 × 783,114
  4. Step 4: Simplify right side
    358,957.50x = 613,267,536,996
  5. Step 5: Solve for x
    x = 613,267,536,996/358,957.50
  6. Step 6: Final answer
    x = 1,708,468.38

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Why These Related Problems?

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