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Finding the Third Proportional to 317,230.50 and 686,733

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Solution

The third proportional to 317,230.50 and 686,733 is: 1,486,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,230.50 : 686,733 = 686,733 : x
  2. Step 2: Convert to fraction form
    317,230.50/686,733 = 686,733/x
  3. Step 3: Cross multiply
    317,230.50x = 686,733 × 686,733
  4. Step 4: Simplify right side
    317,230.50x = 471,602,213,289
  5. Step 5: Solve for x
    x = 471,602,213,289/317,230.50
  6. Step 6: Final answer
    x = 1,486,623.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.