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Finding the Third Proportional to 317,594 and 681,237

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Solution

The third proportional to 317,594 and 681,237 is: 1,461,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,594 : 681,237 = 681,237 : x
  2. Step 2: Convert to fraction form
    317,594/681,237 = 681,237/x
  3. Step 3: Cross multiply
    317,594x = 681,237 × 681,237
  4. Step 4: Simplify right side
    317,594x = 464,083,850,169
  5. Step 5: Solve for x
    x = 464,083,850,169/317,594
  6. Step 6: Final answer
    x = 1,461,248.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.