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Finding the Third Proportional to 316,744.50 and 704,319

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Solution

The third proportional to 316,744.50 and 704,319 is: 1,566,136.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,744.50 : 704,319 = 704,319 : x
  2. Step 2: Convert to fraction form
    316,744.50/704,319 = 704,319/x
  3. Step 3: Cross multiply
    316,744.50x = 704,319 × 704,319
  4. Step 4: Simplify right side
    316,744.50x = 496,065,253,761
  5. Step 5: Solve for x
    x = 496,065,253,761/316,744.50
  6. Step 6: Final answer
    x = 1,566,136.91

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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.