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Finding the Third Proportional to 228,938.63 and 497,266.31

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Solution

The third proportional to 228,938.63 and 497,266.31 is: 1,080,087.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,938.63 : 497,266.31 = 497,266.31 : x
  2. Step 2: Convert to fraction form
    228,938.63/497,266.31 = 497,266.31/x
  3. Step 3: Cross multiply
    228,938.63x = 497,266.31 × 497,266.31
  4. Step 4: Simplify right side
    228,938.63x = 247,273,785,547.35
  5. Step 5: Solve for x
    x = 247,273,785,547.35/228,938.63
  6. Step 6: Final answer
    x = 1,080,087.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.