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Finding the Third Proportional to 317,302.50 and 692,488.50

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Solution

The third proportional to 317,302.50 and 692,488.50 is: 1,511,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,302.50 : 692,488.50 = 692,488.50 : x
  2. Step 2: Convert to fraction form
    317,302.50/692,488.50 = 692,488.50/x
  3. Step 3: Cross multiply
    317,302.50x = 692,488.50 × 692,488.50
  4. Step 4: Simplify right side
    317,302.50x = 479,540,322,632.25
  5. Step 5: Solve for x
    x = 479,540,322,632.25/317,302.50
  6. Step 6: Final answer
    x = 1,511,303.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.