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Finding the Third Proportional to 338,639.50 and 723,935

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Solution

The third proportional to 338,639.50 and 723,935 is: 1,547,610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,639.50 : 723,935 = 723,935 : x
  2. Step 2: Convert to fraction form
    338,639.50/723,935 = 723,935/x
  3. Step 3: Cross multiply
    338,639.50x = 723,935 × 723,935
  4. Step 4: Simplify right side
    338,639.50x = 524,081,884,225
  5. Step 5: Solve for x
    x = 524,081,884,225/338,639.50
  6. Step 6: Final answer
    x = 1,547,610.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.