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Finding the Third Proportional to 317,531.50 and 437,417

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Solution

The third proportional to 317,531.50 and 437,417 is: 602,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,531.50 : 437,417 = 437,417 : x
  2. Step 2: Convert to fraction form
    317,531.50/437,417 = 437,417/x
  3. Step 3: Cross multiply
    317,531.50x = 437,417 × 437,417
  4. Step 4: Simplify right side
    317,531.50x = 191,333,631,889
  5. Step 5: Solve for x
    x = 191,333,631,889/317,531.50
  6. Step 6: Final answer
    x = 602,565.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.