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Finding the Third Proportional to 315,338.50 and 689,361

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Solution

The third proportional to 315,338.50 and 689,361 is: 1,507,011.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,338.50 : 689,361 = 689,361 : x
  2. Step 2: Convert to fraction form
    315,338.50/689,361 = 689,361/x
  3. Step 3: Cross multiply
    315,338.50x = 689,361 × 689,361
  4. Step 4: Simplify right side
    315,338.50x = 475,218,588,321
  5. Step 5: Solve for x
    x = 475,218,588,321/315,338.50
  6. Step 6: Final answer
    x = 1,507,011.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.