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Finding the Third Proportional to 382,551 and 562,159.50

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Solution

The third proportional to 382,551 and 562,159.50 is: 826,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,551 : 562,159.50 = 562,159.50 : x
  2. Step 2: Convert to fraction form
    382,551/562,159.50 = 562,159.50/x
  3. Step 3: Cross multiply
    382,551x = 562,159.50 × 562,159.50
  4. Step 4: Simplify right side
    382,551x = 316,023,303,440.25
  5. Step 5: Solve for x
    x = 316,023,303,440.25/382,551
  6. Step 6: Final answer
    x = 826,094.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.