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Finding the Third Proportional to 227,893.50 and 499,527

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Solution

The third proportional to 227,893.50 and 499,527 is: 1,094,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,893.50 : 499,527 = 499,527 : x
  2. Step 2: Convert to fraction form
    227,893.50/499,527 = 499,527/x
  3. Step 3: Cross multiply
    227,893.50x = 499,527 × 499,527
  4. Step 4: Simplify right side
    227,893.50x = 249,527,223,729
  5. Step 5: Solve for x
    x = 249,527,223,729/227,893.50
  6. Step 6: Final answer
    x = 1,094,929.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.