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Finding the Third Proportional to 341,632 and 499,280

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Solution

The third proportional to 341,632 and 499,280 is: 729,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,632 : 499,280 = 499,280 : x
  2. Step 2: Convert to fraction form
    341,632/499,280 = 499,280/x
  3. Step 3: Cross multiply
    341,632x = 499,280 × 499,280
  4. Step 4: Simplify right side
    341,632x = 249,280,518,400
  5. Step 5: Solve for x
    x = 249,280,518,400/341,632
  6. Step 6: Final answer
    x = 729,675.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.