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Finding the Third Proportional to 360,560 and 522,248

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Solution

The third proportional to 360,560 and 522,248 is: 756,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,560 : 522,248 = 522,248 : x
  2. Step 2: Convert to fraction form
    360,560/522,248 = 522,248/x
  3. Step 3: Cross multiply
    360,560x = 522,248 × 522,248
  4. Step 4: Simplify right side
    360,560x = 272,742,973,504
  5. Step 5: Solve for x
    x = 272,742,973,504/360,560
  6. Step 6: Final answer
    x = 756,442.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.