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Finding the Third Proportional to 317,532 and 437,418

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Solution

The third proportional to 317,532 and 437,418 is: 602,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,532 : 437,418 = 437,418 : x
  2. Step 2: Convert to fraction form
    317,532/437,418 = 437,418/x
  3. Step 3: Cross multiply
    317,532x = 437,418 × 437,418
  4. Step 4: Simplify right side
    317,532x = 191,334,506,724
  5. Step 5: Solve for x
    x = 191,334,506,724/317,532
  6. Step 6: Final answer
    x = 602,567.64

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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.