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Finding the Third Proportional to 317,666.25 and 695,475

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Solution

The third proportional to 317,666.25 and 695,475 is: 1,522,621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,666.25 : 695,475 = 695,475 : x
  2. Step 2: Convert to fraction form
    317,666.25/695,475 = 695,475/x
  3. Step 3: Cross multiply
    317,666.25x = 695,475 × 695,475
  4. Step 4: Simplify right side
    317,666.25x = 483,685,475,625
  5. Step 5: Solve for x
    x = 483,685,475,625/317,666.25
  6. Step 6: Final answer
    x = 1,522,621.54

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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.