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Finding the Third Proportional to 316,858.50 and 704,559

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Solution

The third proportional to 316,858.50 and 704,559 is: 1,566,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,858.50 : 704,559 = 704,559 : x
  2. Step 2: Convert to fraction form
    316,858.50/704,559 = 704,559/x
  3. Step 3: Cross multiply
    316,858.50x = 704,559 × 704,559
  4. Step 4: Simplify right side
    316,858.50x = 496,403,384,481
  5. Step 5: Solve for x
    x = 496,403,384,481/316,858.50
  6. Step 6: Final answer
    x = 1,566,640.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.