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Finding the Third Proportional to 374,830 and 576,583

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Solution

The third proportional to 374,830 and 576,583 is: 886,929.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,830 : 576,583 = 576,583 : x
  2. Step 2: Convert to fraction form
    374,830/576,583 = 576,583/x
  3. Step 3: Cross multiply
    374,830x = 576,583 × 576,583
  4. Step 4: Simplify right side
    374,830x = 332,447,955,889
  5. Step 5: Solve for x
    x = 332,447,955,889/374,830
  6. Step 6: Final answer
    x = 886,929.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.